3765415680 has 864 divisors, whose sum is σ = 15813201600. Its totient is φ = 842268672.

The previous prime is 3765415637. The next prime is 3765415691. The reversal of 3765415680 is 865145673.

3765415680 is a `hidden beast` number, since 37 + 6 + 54 + 1 + 568 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 129841906 + ... + 129841934.

Almost surely, 2^3765415680 is an apocalyptic number.

3765415680 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 3765415680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7906600800).

3765415680 is an abundant number, since it is smaller than the sum of its proper divisors (12047785920).

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

3765415680 is a wasteful number, since it uses less digits than its factorization.

3765415680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The square root of 3765415680 is about 61362.9829783396. The cubic root of 3765415680 is about 1555.7422358574.

The spelling of 3765415680 in words is "three billion, seven hundred sixty-five million, four hundred fifteen thousand, six hundred eighty".