377625006 has 96 divisors (see below), whose sum is σ = 922967136. Its totient is φ = 110592000.

The previous prime is 377624999. The next prime is 377625049. The reversal of 377625006 is 600526773.

It is a happy number.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1469230 + ... + 1469486.

It is an arithmetic number, because the mean of its divisors is an integer number (9614241).

Almost surely, 2^377625006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 377625006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (461483568).

377625006 is an abundant number, since it is smaller than the sum of its proper divisors (545342130).

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

377625006 is a wasteful number, since it uses less digits than its factorization.

377625006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 498 (or 495 counting only the distinct ones).

The product of its (nonzero) digits is 52920, while the sum is 36.

The square root of 377625006 is about 19432.5758971887. The cubic root of 377625006 is about 722.8035025541.

It can be divided in two parts, 3776 and 25006, that added together give a palindrome (28782).

The spelling of 377625006 in words is "three hundred seventy-seven million, six hundred twenty-five thousand, six".