3786326400 has 96 divisors (see below), whose sum is σ = 12471244200. Its totient is φ = 1009684480.

The previous prime is 3786326381. The next prime is 3786326419. The reversal of 3786326400 is 46236873.

It is an interprime number because it is at equal distance from previous prime (3786326381) and next prime (3786326419).

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 187605 + ... + 206804.

Almost surely, 2^3786326400 is an apocalyptic number.

3786326400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3786326400 is an abundant number, since it is smaller than the sum of its proper divisors (8684917800).

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

3786326400 is a wasteful number, since it uses less digits than its factorization.

3786326400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 394436 (or 394419 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 39.

The square root of 3786326400 is about 61533.1325384951. The cubic root of 3786326400 is about 1558.6167883687.

The spelling of 3786326400 in words is "three billion, seven hundred eighty-six million, three hundred twenty-six thousand, four hundred".