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3721945920 = 263572117193
BaseRepresentation
bin1101110111011000…
…0110001101000000
3100121101111102221220
43131312012031000
530110304232140
61413154115040
7161143006200
oct33566061500
910541442856
103721945920
11163aa3a070
1287a57ba80
13474138984
14274454400
1516bb4dbd0
hexddd86340

3721945920 has 336 divisors, whose sum is σ = 14998281408. Its totient is φ = 773283840.

The previous prime is 3721945861. The next prime is 3721945957. The reversal of 3721945920 is 295491273.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 513844 + ... + 521036.

Almost surely, 23721945920 is an apocalyptic number.

3721945920 is a gapful number since it is divisible by the number (30) 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 3721945920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7499140704).

3721945920 is an abundant number, since it is smaller than the sum of its proper divisors (11276335488).

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

3721945920 is a wasteful number, since it uses less digits than its factorization.

3721945920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7238 (or 7221 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 42.

The square root of 3721945920 is about 61007.7529499325. The cubic root of 3721945920 is about 1549.7323047932.

The spelling of 3721945920 in words is "three billion, seven hundred twenty-one million, nine hundred forty-five thousand, nine hundred twenty".