39604149312 has 448 divisors, whose sum is σ = 132781608960. Its totient is φ = 10141065216.

The previous prime is 39604149311. The next prime is 39604149313. The reversal of 39604149312 is 21394140693.

It is an interprime number because it is at equal distance from previous prime (39604149311) and next prime (39604149313).

It is a tau number, because it is divible by the number of its divisors (448).

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

It is not an unprimeable number, because it can be changed into a prime (39604149311) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 106177158 + ... + 106177530.

It is an arithmetic number, because the mean of its divisors is an integer number (296387520).

Almost surely, 2^39604149312 is an apocalyptic number.

39604149312 is a gapful number since it is divisible by the number (32) 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 39604149312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66390804480).

39604149312 is an abundant number, since it is smaller than the sum of its proper divisors (93177459648).

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

39604149312 is a wasteful number, since it uses less digits than its factorization.

39604149312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 570 (or 560 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 42.

The spelling of 39604149312 in words is "thirty-nine billion, six hundred four million, one hundred forty-nine thousand, three hundred twelve".