3774943875456 has 640 divisors, whose sum is σ = 12728428020000. Its totient is φ = 1102393442304.

The previous prime is 3774943875383. The next prime is 3774943875487. The reversal of 3774943875456 is 6545783494773.

3774943875456 is a `hidden beast` number, since 3 + 7 + 7 + 4 + 94 + 3 + 87 + 5 + 456 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 230607240 + ... + 230623608.

Almost surely, 2^{3774943875456} is an apocalyptic number.

3774943875456 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 3774943875456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6364214010000).

3774943875456 is an abundant number, since it is smaller than the sum of its proper divisors (8953484144544).

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

3774943875456 is a wasteful number, since it uses less digits than its factorization.

3774943875456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16496 (or 16475 counting only the distinct ones).

The product of its digits is 2133734400, while the sum is 72.

The spelling of 3774943875456 in words is "three trillion, seven hundred seventy-four billion, nine hundred forty-three million, eight hundred seventy-five thousand, four hundred fifty-six".