3687780096 has 864 divisors, whose sum is σ = 15081776640. Its totient is φ = 862617600.

The previous prime is 3687780067. The next prime is 3687780113. The reversal of 3687780096 is 6900877863.

3687780096 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (864).

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, 89945836 + ... + 89945876.

It is an arithmetic number, because the mean of its divisors is an integer number (17455760).

Almost surely, 2^3687780096 is an apocalyptic number.

3687780096 is a gapful number since it is divisible by the number (36) 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 3687780096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7540888320).

3687780096 is an abundant number, since it is smaller than the sum of its proper divisors (11393996544).

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

3687780096 is a wasteful number, since it uses less digits than its factorization.

3687780096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The square root of 3687780096 is about 60727.0952376285. The cubic root of 3687780096 is about 1544.9757673643.

The spelling of 3687780096 in words is "three billion, six hundred eighty-seven million, seven hundred eighty thousand, ninety-six".