3687495840 has 576 divisors, whose sum is σ = 15810971904. Its totient is φ = 792281088.

The previous prime is 3687495839. The next prime is 3687495853. The reversal of 3687495840 is 485947863.

3687495840 is a `hidden beast` number, since 36 + 87 + 495 + 8 + 40 = 666.

3687495840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4626322 + ... + 4627118.

It is an arithmetic number, because the mean of its divisors is an integer number (27449604).

Almost surely, 2^3687495840 is an apocalyptic number.

3687495840 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 3687495840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7905485952).

3687495840 is an abundant number, since it is smaller than the sum of its proper divisors (12123476064).

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

3687495840 is a wasteful number, since it uses less digits than its factorization.

3687495840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 851 (or 831 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The square root of 3687495840 is about 60724.7547545480. The cubic root of 3687495840 is about 1544.9360705002.

The spelling of 3687495840 in words is "three billion, six hundred eighty-seven million, four hundred ninety-five thousand, eight hundred forty".