3413532672 has 448 divisors, whose sum is σ = 11701393920. Its totient is φ = 973209600.

The previous prime is 3413532637. The next prime is 3413532701. The reversal of 3413532672 is 2762353143.

3413532672 is a `hidden beast` number, since 3 + 41 + 353 + 267 + 2 = 666.

It is a super-2 number, since 2×3413532672² = 23304410605622919168, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nialpdrome in base 16.

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, 55959522 + ... + 55959582.

Almost surely, 2^3413532672 is an apocalyptic number.

3413532672 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 3413532672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5850696960).

3413532672 is an abundant number, since it is smaller than the sum of its proper divisors (8287861248).

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

3413532672 is a wasteful number, since it uses less digits than its factorization.

3413532672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 100 counting only the distinct ones).

The product of its digits is 90720, while the sum is 36.

The square root of 3413532672 is about 58425.4454155037. The cubic root of 3413532672 is about 1505.6869557746.

The spelling of 3413532672 in words is "three billion, four hundred thirteen million, five hundred thirty-two thousand, six hundred seventy-two".