376738440 has 256 divisors, whose sum is σ = 1282417920. Its totient is φ = 87920640.

The previous prime is 376738433. The next prime is 376738447. The reversal of 376738440 is 44837673.

It is an interprime number because it is at equal distance from previous prime (376738433) and next prime (376738447).

It is a junction number, because it is equal to n+sod(n) for n = 376738392 and 376738401.

It is not an unprimeable number, because it can be changed into a prime (376738447) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3520867 + ... + 3520973.

It is an arithmetic number, because the mean of its divisors is an integer number (5009445).

Almost surely, 2^376738440 is an apocalyptic number.

376738440 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 376738440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (641208960).

376738440 is an abundant number, since it is smaller than the sum of its proper divisors (905679480).

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

376738440 is a wasteful number, since it uses less digits than its factorization.

376738440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 42.

The square root of 376738440 is about 19409.7511576012. The cubic root of 376738440 is about 722.2374073161.

The spelling of 376738440 in words is "three hundred seventy-six million, seven hundred thirty-eight thousand, four hundred forty".