374856768 has 448 divisors, whose sum is σ = 1362090240. Its totient is φ = 99532800.

The previous prime is 374856767. The next prime is 374856787. The reversal of 374856768 is 867658473.

374856768 is a `hidden beast` number, since 3 + 74 + 8 + 567 + 6 + 8 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (374856761) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9142828 + ... + 9142868.

It is an arithmetic number, because the mean of its divisors is an integer number (3040380).

Almost surely, 2^374856768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 374856768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (681045120).

374856768 is an abundant number, since it is smaller than the sum of its proper divisors (987233472).

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

374856768 is a wasteful number, since it uses less digits than its factorization.

374856768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 107 counting only the distinct ones).

The product of its digits is 6773760, while the sum is 54.

The square root of 374856768 is about 19361.2181434950. The cubic root of 374856768 is about 721.0329617774.

It can be divided in two parts, 37485 and 6768, that added together give a triangular number (44253 = T₂₉₇).

The spelling of 374856768 in words is "three hundred seventy-four million, eight hundred fifty-six thousand, seven hundred sixty-eight".