3797630928 has 360 divisors, whose sum is σ = 14021498400. Its totient is φ = 948423168.

The previous prime is 3797630927. The next prime is 3797630929. The reversal of 3797630928 is 8290367973.

It is an interprime number because it is at equal distance from previous prime (3797630927) and next prime (3797630929).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3797630927) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1741743 + ... + 1743921.

Almost surely, 2^3797630928 is an apocalyptic number.

3797630928 is a gapful number since it is divisible by the number (38) 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 3797630928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7010749200).

3797630928 is an abundant number, since it is smaller than the sum of its proper divisors (10223867472).

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

3797630928 is a wasteful number, since it uses less digits than its factorization.

3797630928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2239 (or 2223 counting only the distinct ones).

The product of its (nonzero) digits is 3429216, while the sum is 54.

The square root of 3797630928 is about 61624.9213224650. The cubic root of 3797630928 is about 1560.1663925080.

The spelling of 3797630928 in words is "three billion, seven hundred ninety-seven million, six hundred thirty thousand, nine hundred twenty-eight".