3795686400 has 264 divisors, whose sum is σ = 13688436384. Its totient is φ = 919961600.

The previous prime is 3795686393. The next prime is 3795686413. The reversal of 3795686400 is 46865973.

It is a tau number, because it is divible by the number of its divisors (264).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 3795686400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 842554 + ... + 847046.

Almost surely, 2^3795686400 is an apocalyptic number.

3795686400 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 3795686400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6844218192).

3795686400 is an abundant number, since it is smaller than the sum of its proper divisors (9892749984).

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

3795686400 is a wasteful number, since it uses less digits than its factorization.

3795686400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4537 (or 4514 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 48.

The square root of 3795686400 is about 61609.1421787384. The cubic root of 3795686400 is about 1559.9000593437.

The spelling of 3795686400 in words is "three billion, seven hundred ninety-five million, six hundred eighty-six thousand, four hundred".