377416000 has 224 divisors, whose sum is σ = 1065093120. Its totient is φ = 131328000.

The previous prime is 377415971. The next prime is 377416001. The reversal of 377416000 is 614773.

It is a self number, because there is not a number n which added to its sum of digits gives 377416000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (377416001) 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, 1975905 + ... + 1976095.

It is an arithmetic number, because the mean of its divisors is an integer number (4754880).

Almost surely, 2^377416000 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 377416000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (532546560).

377416000 is an abundant number, since it is smaller than the sum of its proper divisors (687677120).

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

377416000 is a wasteful number, since it uses less digits than its factorization.

377416000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250 (or 230 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 28.

The square root of 377416000 is about 19427.1974304067. The cubic root of 377416000 is about 722.6701267216.

The spelling of 377416000 in words is "three hundred seventy-seven million, four hundred sixteen thousand".