3692987421760 has 672 divisors, whose sum is σ = 11620478298240. Its totient is φ = 1104957407232.

The previous prime is 3692987421731. The next prime is 3692987421803. The reversal of 3692987421760 is 671247892963.

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a junction number, because it is equal to n+sod(n) for n = 3692987421692 and 3692987421701.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3202937344 + ... + 3202938496.

It is an arithmetic number, because the mean of its divisors is an integer number (17292378420).

Almost surely, 2^{3692987421760} 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 3692987421760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5810239149120).

3692987421760 is an abundant number, since it is smaller than the sum of its proper divisors (7927490876480).

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

3692987421760 is a wasteful number, since it uses less digits than its factorization.

3692987421760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2043 (or 2026 counting only the distinct ones).

The product of its (nonzero) digits is 54867456, while the sum is 64.

The spelling of 3692987421760 in words is "three trillion, six hundred ninety-two billion, nine hundred eighty-seven million, four hundred twenty-one thousand, seven hundred sixty".