3723042960 has 960 divisors, whose sum is σ = 16730357760. Its totient is φ = 744007680.

The previous prime is 3723042943. The next prime is 3723042977. The reversal of 3723042960 is 692403273.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (3723042943) and next prime (3723042977).

It is a super-2 number, since 2×3723042960² = 27722097764011123200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 79213657 + ... + 79213703.

It is an arithmetic number, because the mean of its divisors is an integer number (17427456).

Almost surely, 2^3723042960 is an apocalyptic number.

3723042960 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 3723042960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8365178880).

3723042960 is an abundant number, since it is smaller than the sum of its proper divisors (13007314800).

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

3723042960 is a wasteful number, since it uses less digits than its factorization.

3723042960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The square root of 3723042960 is about 61016.7432759239. The cubic root of 3723042960 is about 1549.8845505409.

The spelling of 3723042960 in words is "three billion, seven hundred twenty-three million, forty-two thousand, nine hundred sixty".