3435412856832 has 672 divisors, whose sum is σ = 11676323998080. Its totient is φ = 995593420800.

The previous prime is 3435412856797. The next prime is 3435412856881. The reversal of 3435412856832 is 2386582145343.

3435412856832 is a `hidden beast` number, since 3 + 4 + 3 + 5 + 41 + 2 + 8 + 568 + 32 = 666.

It is a super-2 number, since 2×3435412856832² (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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 615552282 + ... + 615557862.

It is an arithmetic number, because the mean of its divisors is an integer number (17375482140).

Almost surely, 2^{3435412856832} is an apocalyptic number.

3435412856832 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 3435412856832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5838161999040).

3435412856832 is an abundant number, since it is smaller than the sum of its proper divisors (8240911141248).

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

3435412856832 is a wasteful number, since it uses less digits than its factorization.

3435412856832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5661 (or 5620 counting only the distinct ones).

The product of its digits is 16588800, while the sum is 54.

The spelling of 3435412856832 in words is "three trillion, four hundred thirty-five billion, four hundred twelve million, eight hundred fifty-six thousand, eight hundred thirty-two".