3729752040 has 128 divisors (see below), whose sum is σ = 13029154560. Its totient is φ = 836419584.

The previous prime is 3729751957. The next prime is 3729752051. The reversal of 3729752040 is 402579273.

It is a super-2 number, since 2×3729752040² = 27822100559768323200, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3729752040.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2632 + ... + 86408.

It is an arithmetic number, because the mean of its divisors is an integer number (101790270).

Almost surely, 2^3729752040 is an apocalyptic number.

3729752040 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 3729752040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6514577280).

3729752040 is an abundant number, since it is smaller than the sum of its proper divisors (9299402520).

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

3729752040 is a wasteful number, since it uses less digits than its factorization.

3729752040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83851 (or 83847 counting only the distinct ones).

The product of its (nonzero) digits is 105840, while the sum is 39.

The square root of 3729752040 is about 61071.6958991643. The cubic root of 3729752040 is about 1550.8149775903.

The spelling of 3729752040 in words is "three billion, seven hundred twenty-nine million, seven hundred fifty-two thousand, forty".