3792202340640 has 384 divisors, whose sum is σ = 14467419445248. Its totient is φ = 815099658240.

The previous prime is 3792202340639. The next prime is 3792202340669. The reversal of 3792202340640 is 460432022973.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 3792202340592 and 3792202340601.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 67773475 + ... + 67829405.

It is an arithmetic number, because the mean of its divisors is an integer number (37675571472).

Almost surely, 2^{3792202340640} is an apocalyptic number.

3792202340640 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 3792202340640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7233709722624).

3792202340640 is an abundant number, since it is smaller than the sum of its proper divisors (10675217104608).

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

3792202340640 is a wasteful number, since it uses less digits than its factorization.

3792202340640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57160 (or 57152 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 42.

The spelling of 3792202340640 in words is "three trillion, seven hundred ninety-two billion, two hundred two million, three hundred forty thousand, six hundred forty".