3872700 has 108 divisors (see below), whose sum is σ = 13112008. Its totient is φ = 950400.

The previous prime is 3872681. The next prime is 3872731. The reversal of 3872700 is 72783.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 11535 + ... + 11865.

Almost surely, 2^3872700 is an apocalyptic number.

3872700 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 3872700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6556004).

3872700 is an abundant number, since it is smaller than the sum of its proper divisors (9239308).

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

3872700 is a wasteful number, since it uses less digits than its factorization.

3872700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 364 (or 354 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 3872700 is about 1967.9176812052. The cubic root of 3872700 is about 157.0379504455.

The spelling of 3872700 in words is "three million, eight hundred seventy-two thousand, seven hundred".