3729922560 has 640 divisors, whose sum is σ = 16333954560. Its totient is φ = 785645568.

The previous prime is 3729922487. The next prime is 3729922571. The reversal of 3729922560 is 652299273.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (640).

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

It is a zygodrome in base 12.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6289624 + ... + 6290216.

It is an arithmetic number, because the mean of its divisors is an integer number (25521804).

Almost surely, 2^3729922560 is an apocalyptic number.

3729922560 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 3729922560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8166977280).

3729922560 is an abundant number, since it is smaller than the sum of its proper divisors (12604032000).

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

3729922560 is a wasteful number, since it uses less digits than its factorization.

3729922560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 645 (or 623 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The square root of 3729922560 is about 61073.0919472725. The cubic root of 3729922560 is about 1550.8386110595.

The spelling of 3729922560 in words is "three billion, seven hundred twenty-nine million, nine hundred twenty-two thousand, five hundred sixty".