3940470084096 has 1920 divisors, whose sum is σ = 15674656757760. Its totient is φ = 958763630592.

The previous prime is 3940470084073. The next prime is 3940470084139. The reversal of 3940470084096 is 6904800740493.

It is a happy number.

3940470084096 is a `hidden beast` number, since 3 + 9 + 4 + 0 + 470 + 0 + 84 + 0 + 96 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 11355821395 + ... + 11355821741.

It is an arithmetic number, because the mean of its divisors is an integer number (8163883728).

Almost surely, 2^{3940470084096} is an apocalyptic number.

3940470084096 is a gapful number since it is divisible by the number (36) 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 3940470084096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7837328378880).

3940470084096 is an abundant number, since it is smaller than the sum of its proper divisors (11734186673664).

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

3940470084096 is a wasteful number, since it uses less digits than its factorization.

3940470084096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 476 (or 448 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 3940470084096 in words is "three trillion, nine hundred forty billion, four hundred seventy million, eighty-four thousand, ninety-six".