3657406878720 has 1584 divisors, whose sum is σ = 15781796184960. Its totient is φ = 764507455488.

The previous prime is 3657406878709. The next prime is 3657406878731. The reversal of 3657406878720 is 278786047563.

3657406878720 is a `hidden beast` number, since 3 + 6 + 57 + 406 + 87 + 87 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (3657406878709) and next prime (3657406878731).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 28798479297 + ... + 28798479423.

Almost surely, 2^{3657406878720} is an apocalyptic number.

3657406878720 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 3657406878720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7890898092480).

3657406878720 is an abundant number, since it is smaller than the sum of its proper divisors (12124389306240).

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

3657406878720 is a wasteful number, since it uses less digits than its factorization.

3657406878720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 348 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 94832640, while the sum is 63.

The spelling of 3657406878720 in words is "three trillion, six hundred fifty-seven billion, four hundred six million, eight hundred seventy-eight thousand, seven hundred twenty".