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3968401725 = 325217637341
BaseRepresentation
bin1110110010001001…
…0000000100111101
3101020120020200202200
43230202100010331
531111402323400
61453440342113
7200224600221
oct35442200475
911216220680
103968401725
111757071a52
12929014939
134b320a102
1429908a781
151835d2b00
hexec89013d

3968401725 has 18 divisors (see below), whose sum is σ = 7107848826. Its totient is φ = 2116480800.

The previous prime is 3968401709. The next prime is 3968401741. The reversal of 3968401725 is 5271048693.

3968401725 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3968401709) and next prime (3968401741).

It can be written as a sum of positive squares in 3 ways, for example, as 1002292281 + 2966109444 = 31659^2 + 54462^2 .

It is not a de Polignac number, because 3968401725 - 24 = 3968401709 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

3968401725 is strictly pandigital in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 8818446 + ... + 8818895.

It is a 1-persistent number, because it is pandigital, but 2⋅3968401725 = 7936803450 is not.

Almost surely, 23968401725 is an apocalyptic number.

It is an amenable number.

3968401725 is a deficient number, since it is larger than the sum of its proper divisors (3139447101).

3968401725 is a wasteful number, since it uses less digits than its factorization.

3968401725 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17637357 (or 17637349 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 3968401725 is about 62995.2516067680. The cubic root of 3968401725 is about 1583.2100689512.

The spelling of 3968401725 in words is "three billion, nine hundred sixty-eight million, four hundred one thousand, seven hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 75 225 17637341 52912023 88186705 158736069 264560115 440933525 793680345 1322800575 3968401725