377744640 has 576 divisors, whose sum is σ = 1582350336. Its totient is φ = 74612736.

The previous prime is 377744611. The next prime is 377744671. The reversal of 377744640 is 46447773.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 377744592 and 377744601.

It is a congruent number.

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, 8037097 + ... + 8037143.

It is an arithmetic number, because the mean of its divisors is an integer number (2747136).

Almost surely, 2^377744640 is an apocalyptic number.

377744640 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 377744640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (791175168).

377744640 is an abundant number, since it is smaller than the sum of its proper divisors (1204605696).

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

377744640 is a wasteful number, since it uses less digits than its factorization.

377744640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 395136, while the sum is 42.

The square root of 377744640 is about 19435.6538351556. The cubic root of 377744640 is about 722.8798240749.

The spelling of 377744640 in words is "three hundred seventy-seven million, seven hundred forty-four thousand, six hundred forty".