3964405897088 has 256 divisors, whose sum is σ = 10399792704000. Its totient is φ = 1461430149120.

The previous prime is 3964405897087. The next prime is 3964405897129. The reversal of 3964405897088 is 8807985044693.

It is a super-2 number, since 2×3964405897088² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3964405897087) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13353203 + ... + 13646861.

It is an arithmetic number, because the mean of its divisors is an integer number (40624190250).

Almost surely, 2^{3964405897088} is an apocalyptic number.

3964405897088 is a gapful number since it is divisible by the number (38) 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 3964405897088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5199896352000).

3964405897088 is an abundant number, since it is smaller than the sum of its proper divisors (6435386806912).

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

3964405897088 is a wasteful number, since it uses less digits than its factorization.

3964405897088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 293773 (or 293761 counting only the distinct ones).

The product of its (nonzero) digits is 418037760, while the sum is 71.

The spelling of 3964405897088 in words is "three trillion, nine hundred sixty-four billion, four hundred five million, eight hundred ninety-seven thousand, eighty-eight".