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3499803648 = 2103211192379
BaseRepresentation
bin1101000010011010…
…1100010000000000
3100000220111110001100
43100212230100000
524131422204043
61335140534400
7152504561115
oct32046542000
910026443040
103499803648
111536603310
128180b1400
1343a0cb143
14252b4a90c
151573bdcd3
hexd09ac400

3499803648 has 528 divisors, whose sum is σ = 12262348800. Its totient is φ = 948879360.

The previous prime is 3499803631. The next prime is 3499803649. The reversal of 3499803648 is 8463089943.

It is a happy number.

3499803648 is a `hidden beast` number, since 3 + 499 + 80 + 36 + 48 = 666.

It is a tau number, because it is divible by the number of its divisors (528).

It is a junction number, because it is equal to n+sod(n) for n = 3499803594 and 3499803603.

It is not an unprimeable number, because it can be changed into a prime (3499803649) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 44301273 + ... + 44301351.

Almost surely, 23499803648 is an apocalyptic number.

3499803648 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3499803648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6131174400).

3499803648 is an abundant number, since it is smaller than the sum of its proper divisors (8762545152).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3499803648 is a wasteful number, since it uses less digits than its factorization.

3499803648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 54.

The square root of 3499803648 is about 59159.1383304389. The cubic root of 3499803648 is about 1518.2660930108.

The spelling of 3499803648 in words is "three billion, four hundred ninety-nine million, eight hundred three thousand, six hundred forty-eight".