377642628 has 96 divisors (see below), whose sum is σ = 1076920320. Its totient is φ = 113490720.

The previous prime is 377642623. The next prime is 377642647. The reversal of 377642628 is 826246773.

It is a super-3 number, since 3×377642628³ (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

Its product of digits (677376) is a multiple of the sum of its prime divisors (2646).

It is not an unprimeable number, because it can be changed into a prime (377642621) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 149625 + ... + 152127.

It is an arithmetic number, because the mean of its divisors is an integer number (11217920).

Almost surely, 2^377642628 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 377642628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (538460160).

377642628 is an abundant number, since it is smaller than the sum of its proper divisors (699277692).

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

377642628 is a wasteful number, since it uses less digits than its factorization.

377642628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2654 (or 2646 counting only the distinct ones).

The product of its digits is 677376, while the sum is 45.

The square root of 377642628 is about 19433.0293057979. The cubic root of 377642628 is about 722.8147456701.

The spelling of 377642628 in words is "three hundred seventy-seven million, six hundred forty-two thousand, six hundred twenty-eight".