3403791286272 has 960 divisors, whose sum is σ = 11431310571520. Its totient is φ = 993735475200.

The previous prime is 3403791286261. The next prime is 3403791286279. The reversal of 3403791286272 is 2726821973043.

It is a happy number.

3403791286272 is a `hidden beast` number, since 3 + 4 + 0 + 3 + 7 + 9 + 1 + 2 + 8 + 627 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3403791286279) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10874732388 + ... + 10874732700.

Almost surely, 2^{3403791286272} is an apocalyptic number.

3403791286272 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 3403791286272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5715655285760).

3403791286272 is an abundant number, since it is smaller than the sum of its proper divisors (8027519285248).

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

3403791286272 is a wasteful number, since it uses less digits than its factorization.

3403791286272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 455 (or 423 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 54.

The spelling of 3403791286272 in words is "three trillion, four hundred three billion, seven hundred ninety-one million, two hundred eighty-six thousand, two hundred seventy-two".