3506396024832 has 416 divisors, whose sum is σ = 10089005414400. Its totient is φ = 1079143563264.

The previous prime is 3506396024801. The next prime is 3506396024893. The reversal of 3506396024832 is 2384206936053.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2953997743 + ... + 2953998929.

Almost surely, 2^{3506396024832} is an apocalyptic number.

3506396024832 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 3506396024832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5044502707200).

3506396024832 is an abundant number, since it is smaller than the sum of its proper divisors (6582609389568).

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

3506396024832 is a wasteful number, since it uses less digits than its factorization.

3506396024832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1489 (or 1467 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 51.

The spelling of 3506396024832 in words is "three trillion, five hundred six billion, three hundred ninety-six million, twenty-four thousand, eight hundred thirty-two".