377879040 has 640 divisors, whose sum is σ = 1697034240. Its totient is φ = 77414400.

The previous prime is 377879003. The next prime is 377879053. The reversal of 377879040 is 40978773.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5322205 + ... + 5322275.

It is an arithmetic number, because the mean of its divisors is an integer number (2651616).

Almost surely, 2^377879040 is an apocalyptic number.

377879040 is a gapful number since it is divisible by the number (30) 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 377879040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (848517120).

377879040 is an abundant number, since it is smaller than the sum of its proper divisors (1319155200).

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

377879040 is a wasteful number, since it uses less digits than its factorization.

377879040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 296352, while the sum is 45.

The square root of 377879040 is about 19439.1110907881. Note that the first 3 decimals coincide. The cubic root of 377879040 is about 722.9655464720.

The spelling of 377879040 in words is "three hundred seventy-seven million, eight hundred seventy-nine thousand, forty".