3785579487040 has 224 divisors, whose sum is σ = 10136726772480. Its totient is φ = 1336080531456.

The previous prime is 3785579486999. The next prime is 3785579487073. The reversal of 3785579487040 is 407849755873.

It is a super-2 number, since 2×3785579487040² (a number of 26 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (67) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 151066192 + ... + 151091248.

It is an arithmetic number, because the mean of its divisors is an integer number (45253244520).

Almost surely, 2^{3785579487040} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3785579487040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5068363386240).

3785579487040 is an abundant number, since it is smaller than the sum of its proper divisors (6351147285440).

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

3785579487040 is a wasteful number, since it uses less digits than its factorization.

3785579487040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26689 (or 26679 counting only the distinct ones).

The product of its (nonzero) digits is 237081600, while the sum is 67.

The spelling of 3785579487040 in words is "three trillion, seven hundred eighty-five billion, five hundred seventy-nine million, four hundred eighty-seven thousand, forty".