377825616 has 120 divisors (see below), whose sum is σ = 1229117760. Its totient is φ = 106103808.

The previous prime is 377825597. The next prime is 377825627. The reversal of 377825616 is 616528773.

377825616 is a `hidden beast` number, since 3 + 7 + 7 + 8 + 25 + 616 = 666.

It is a super-2 number, since 2×377825616² = 285504392211558912, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 56296 + ... + 62648.

It is an arithmetic number, because the mean of its divisors is an integer number (10242648).

Almost surely, 2^377825616 is an apocalyptic number.

377825616 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 377825616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (614558880).

377825616 is an abundant number, since it is smaller than the sum of its proper divisors (851292144).

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

377825616 is a wasteful number, since it uses less digits than its factorization.

377825616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6433 (or 6424 counting only the distinct ones).

The product of its digits is 423360, while the sum is 45.

The square root of 377825616 is about 19437.7369053087. The cubic root of 377825616 is about 722.9314742535.

The spelling of 377825616 in words is "three hundred seventy-seven million, eight hundred twenty-five thousand, six hundred sixteen".