3904219992960 has 768 divisors, whose sum is σ = 16288874496000. Its totient is φ = 881081929728.

The previous prime is 3904219992857. The next prime is 3904219992997. The reversal of 3904219992960 is 692999124093.

3904219992960 is a `hidden beast` number, since 39 + 0 + 421 + 9 + 9 + 92 + 96 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 66861697 + ... + 66920063.

It is an arithmetic number, because the mean of its divisors is an integer number (21209472000).

Almost surely, 2^{3904219992960} is an apocalyptic number.

3904219992960 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 3904219992960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8144437248000).

3904219992960 is an abundant number, since it is smaller than the sum of its proper divisors (12384654503040).

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

3904219992960 is a wasteful number, since it uses less digits than its factorization.

3904219992960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58488 (or 58463 counting only the distinct ones).

The product of its (nonzero) digits is 17006112, while the sum is 63.

The spelling of 3904219992960 in words is "three trillion, nine hundred four billion, two hundred nineteen million, nine hundred ninety-two thousand, nine hundred sixty".