3426289848576 has 405 divisors, whose sum is σ = 11539287965751. Its totient is φ = 977696068608.

The previous prime is 3426289848529. The next prime is 3426289848581. The reversal of 3426289848576 is 6758489826243.

The square root of 3426289848576 is 1851024.

It is a perfect power (a square), and thus also a powerful number.

3426289848576 is a `hidden beast` number, since 3 + 4 + 2 + 6 + 2 + 8 + 9 + 8 + 48 + 576 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 4353608055 + ... + 4353608841.

Almost surely, 2^{3426289848576} is an apocalyptic number.

3426289848576 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

3426289848576 is the 1851024-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3426289848576

3426289848576 is an abundant number, since it is smaller than the sum of its proper divisors (8112998117175).

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

3426289848576 is an frugal number, since it uses more digits than its factorization.

3426289848576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1624 (or 799 counting only the distinct ones).

The product of its digits is 1114767360, while the sum is 72.

The spelling of 3426289848576 in words is "three trillion, four hundred twenty-six billion, two hundred eighty-nine million, eight hundred forty-eight thousand, five hundred seventy-six".