3797376768 has 216 divisors, whose sum is σ = 11935202160. Its totient is φ = 1190707200.

The previous prime is 3797376767. The next prime is 3797376769. The reversal of 3797376768 is 8676737973.

It is an interprime number because it is at equal distance from previous prime (3797376767) and next prime (3797376769).

It is a tau number, because it is divible by the number of its divisors (216).

It is a super-2 number, since 2×3797376768² = 28840140636292251648, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3797376763) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1996618 + ... + 1998518.

Almost surely, 2^3797376768 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 3797376768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5967601080).

3797376768 is an abundant number, since it is smaller than the sum of its proper divisors (8137825392).

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

3797376768 is a wasteful number, since it uses less digits than its factorization.

3797376768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1960 (or 1923 counting only the distinct ones).

The product of its digits is 56010528, while the sum is 63.

The square root of 3797376768 is about 61622.8591352268. The cubic root of 3797376768 is about 1560.1315865335.

The spelling of 3797376768 in words is "three billion, seven hundred ninety-seven million, three hundred seventy-six thousand, seven hundred sixty-eight".