3729610587552 has 48 divisors (see below), whose sum is σ = 9813482596512. Its totient is φ = 1240250538240.

The previous prime is 3729610587533. The next prime is 3729610587557. The reversal of 3729610587552 is 2557850169273.

3729610587552 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (3729610587557) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 46099858 + ... + 46180689.

It is an arithmetic number, because the mean of its divisors is an integer number (204447554094).

Almost surely, 2^{3729610587552} is an apocalyptic number.

3729610587552 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

3729610587552 is an abundant number, since it is smaller than the sum of its proper divisors (6083872008960).

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

3729610587552 is a wasteful number, since it uses less digits than its factorization.

3729610587552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92280981 (or 92280973 counting only the distinct ones).

The product of its (nonzero) digits is 31752000, while the sum is 60.

The spelling of 3729610587552 in words is "three trillion, seven hundred twenty-nine billion, six hundred ten million, five hundred eighty-seven thousand, five hundred fifty-two".