3964214432640 has 512 divisors, whose sum is σ = 16075428480000. Its totient is φ = 823731363840.

The previous prime is 3964214432639. The next prime is 3964214432699. The reversal of 3964214432640 is 462344124693.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 3964214432640.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6970546 + ... + 7517774.

It is an arithmetic number, because the mean of its divisors is an integer number (31397321250).

Almost surely, 2^{3964214432640} is an apocalyptic number.

3964214432640 is a gapful number since it is divisible by the number (30) 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 3964214432640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8037714240000).

3964214432640 is an abundant number, since it is smaller than the sum of its proper divisors (12111214047360).

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

3964214432640 is a wasteful number, since it uses less digits than its factorization.

3964214432640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 547283 (or 547257 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 48.

The spelling of 3964214432640 in words is "three trillion, nine hundred sixty-four billion, two hundred fourteen million, four hundred thirty-two thousand, six hundred forty".