3935021398464 has 224 divisors, whose sum is σ = 11693316898816. Its totient is φ = 1159636746240.

The previous prime is 3935021398457. The next prime is 3935021398489. The reversal of 3935021398464 is 4648931205393.

It is a hoax number, since the sum of its digits (57) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7243329 + ... + 7767615.

It is an arithmetic number, because the mean of its divisors is an integer number (52202307584).

Almost surely, 2^{3935021398464} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3935021398464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5846658449408).

3935021398464 is an abundant number, since it is smaller than the sum of its proper divisors (7758295500352).

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

3935021398464 is a wasteful number, since it uses less digits than its factorization.

3935021398464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 524443 (or 524433 counting only the distinct ones).

The product of its (nonzero) digits is 16796160, while the sum is 57.

The spelling of 3935021398464 in words is "three trillion, nine hundred thirty-five billion, twenty-one million, three hundred ninety-eight thousand, four hundred sixty-four".