3901469435552 has 192 divisors, whose sum is σ = 8820338688000. Its totient is φ = 1683882224640.

The previous prime is 3901469435543. The next prime is 3901469435561. The reversal of 3901469435552 is 2555349641093.

It is an interprime number because it is at equal distance from previous prime (3901469435543) and next prime (3901469435561).

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, 199748027 + ... + 199767557.

It is an arithmetic number, because the mean of its divisors is an integer number (45939264000).

Almost surely, 2^{3901469435552} is an apocalyptic number.

3901469435552 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 3901469435552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4410169344000).

3901469435552 is an abundant number, since it is smaller than the sum of its proper divisors (4918869252448).

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

3901469435552 is a wasteful number, since it uses less digits than its factorization.

3901469435552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19899 (or 19891 counting only the distinct ones).

The product of its (nonzero) digits is 17496000, while the sum is 56.

The spelling of 3901469435552 in words is "three trillion, nine hundred one billion, four hundred sixty-nine million, four hundred thirty-five thousand, five hundred fifty-two".