3796868400 has 480 divisors, whose sum is σ = 14104097280. Its totient is φ = 864829440.

The previous prime is 3796868393. The next prime is 3796868419. The reversal of 3796868400 is 48686973.

3796868400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 27315531 + ... + 27315669.

It is an arithmetic number, because the mean of its divisors is an integer number (29383536).

Almost surely, 2^3796868400 is an apocalyptic number.

3796868400 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 3796868400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7052048640).

3796868400 is an abundant number, since it is smaller than the sum of its proper divisors (10307228880).

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

3796868400 is a wasteful number, since it uses less digits than its factorization.

3796868400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 293 (or 282 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 51.

The square root of 3796868400 is about 61618.7341642134. The cubic root of 3796868400 is about 1560.0619633507.

The spelling of 3796868400 in words is "three billion, seven hundred ninety-six million, eight hundred sixty-eight thousand, four hundred".