3670797018240 has 768 divisors, whose sum is σ = 14751299404800. Its totient is φ = 861168844800.

The previous prime is 3670797018191. The next prime is 3670797018269. The reversal of 3670797018240 is 428107970763.

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

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, 64788964 + ... + 64845596.

It is an arithmetic number, because the mean of its divisors is an integer number (19207421100).

Almost surely, 2^{3670797018240} is an apocalyptic number.

3670797018240 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 3670797018240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7375649702400).

3670797018240 is an abundant number, since it is smaller than the sum of its proper divisors (11080502386560).

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

3670797018240 is a wasteful number, since it uses less digits than its factorization.

3670797018240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56714 (or 56685 counting only the distinct ones).

The product of its (nonzero) digits is 3556224, while the sum is 54.

The spelling of 3670797018240 in words is "three trillion, six hundred seventy billion, seven hundred ninety-seven million, eighteen thousand, two hundred forty".