3689877294432 has 1152 divisors, whose sum is σ = 13889351024640. Its totient is φ = 939308451840.

The previous prime is 3689877294403. The next prime is 3689877294461. The reversal of 3689877294432 is 2344927789863.

3689877294432 is a `hidden beast` number, since 3 + 6 + 8 + 98 + 77 + 29 + 443 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (3689877294403) and next prime (3689877294461).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1450992553 + ... + 1450995095.

It is an arithmetic number, because the mean of its divisors is an integer number (12056728320).

Almost surely, 2^{3689877294432} is an apocalyptic number.

3689877294432 is a gapful number since it is divisible by the number (32) 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 3689877294432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6944675512320).

3689877294432 is an abundant number, since it is smaller than the sum of its proper divisors (10199473730208).

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

3689877294432 is a wasteful number, since it uses less digits than its factorization.

3689877294432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2678 (or 2658 counting only the distinct ones).

The product of its digits is 877879296, while the sum is 72.

The spelling of 3689877294432 in words is "three trillion, six hundred eighty-nine billion, eight hundred seventy-seven million, two hundred ninety-four thousand, four hundred thirty-two".