3689263401480 has 256 divisors, whose sum is σ = 12397099680000. Its totient is φ = 975851919360.

The previous prime is 3689263401479. The next prime is 3689263401533. The reversal of 3689263401480 is 841043629863.

3689263401480 is a `hidden beast` number, since 3 + 68 + 9 + 2 + 63 + 40 + 1 + 480 = 666.

It is a super-2 number, since 2×3689263401480² (a number of 26 digits) contains 22 as substring.

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

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 63 ways as a sum of consecutive naturals, for example, 177281316 + ... + 177302124.

It is an arithmetic number, because the mean of its divisors is an integer number (48426170625).

Almost surely, 2^{3689263401480} is an apocalyptic number.

3689263401480 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 3689263401480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6198549840000).

3689263401480 is an abundant number, since it is smaller than the sum of its proper divisors (8707836278520).

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

3689263401480 is a wasteful number, since it uses less digits than its factorization.

3689263401480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22149 (or 22139 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 54.

The spelling of 3689263401480 in words is "three trillion, six hundred eighty-nine billion, two hundred sixty-three million, four hundred one thousand, four hundred eighty".