3847640400 has 120 divisors (see below), whose sum is σ = 13694788160. Its totient is φ = 1026034560.

The previous prime is 3847640389. The next prime is 3847640437. The reversal of 3847640400 is 40467483.

3847640400 is a `hidden beast` number, since 3 + 8 + 4 + 7 + 640 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 167332 + ... + 188931.

Almost surely, 2^3847640400 is an apocalyptic number.

3847640400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3847640400 is an abundant number, since it is smaller than the sum of its proper divisors (9847147760).

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

3847640400 is a wasteful number, since it uses less digits than its factorization.

3847640400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 356290 (or 356273 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 3847640400 is about 62029.3511170317. The cubic root of 3847640400 is about 1566.9849501715.

The spelling of 3847640400 in words is "three billion, eight hundred forty-seven million, six hundred forty thousand, four hundred".