3870661600 has 72 divisors (see below), whose sum is σ = 10176145560. Its totient is φ = 1429163520.

The previous prime is 3870661573. The next prime is 3870661607. The reversal of 3870661600 is 61660783.

3870661600 is nontrivially palindromic in base 7.

It is a self number, because there is not a number n which added to its sum of digits gives 3870661600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3870661607) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 175690 + ... + 196489.

It is an arithmetic number, because the mean of its divisors is an integer number (141335355).

Almost surely, 2^3870661600 is an apocalyptic number.

It is an amenable number.

3870661600 is an abundant number, since it is smaller than the sum of its proper divisors (6305483960).

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

3870661600 is a wasteful number, since it uses less digits than its factorization.

3870661600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 372212 (or 372199 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 37.

The square root of 3870661600 is about 62214.6413635890. The cubic root of 3870661600 is about 1570.1039324275.

The spelling of 3870661600 in words is "three billion, eight hundred seventy million, six hundred sixty-one thousand, six hundred".