3922745274000 has 2400 divisors, whose sum is σ = 17903035069920. Its totient is φ = 822140928000.

The previous prime is 3922745273989. The next prime is 3922745274013. The reversal of 3922745274000 is 4725472293.

3922745274000 is a `hidden beast` number, since 39 + 22 + 74 + 527 + 4 + 0 + 0 + 0 = 666.

3922745274000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 16 ways, for example, as 3714469871616 + 208275402384 = 1927296^2 + 456372^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 5532785646 + ... + 5532786354.

Almost surely, 2^{3922745274000} is an apocalyptic number.

3922745274000 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 3922745274000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8951517534960).

3922745274000 is an abundant number, since it is smaller than the sum of its proper divisors (13980289795920).

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

3922745274000 is a wasteful number, since it uses less digits than its factorization.

3922745274000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 816 (or 784 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 45.

The spelling of 3922745274000 in words is "three trillion, nine hundred twenty-two billion, seven hundred forty-five million, two hundred seventy-four thousand".