3507009408 has 192 divisors, whose sum is σ = 11707413120. Its totient is φ = 986895360.

The previous prime is 3507009403. The next prime is 3507009421. The reversal of 3507009408 is 8049007053.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×3507009408² = 24598229975601020928, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3507009403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 537043 + ... + 543533.

It is an arithmetic number, because the mean of its divisors is an integer number (60976110).

Almost surely, 2^3507009408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3507009408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5853706560).

3507009408 is an abundant number, since it is smaller than the sum of its proper divisors (8200403712).

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

3507009408 is a wasteful number, since it uses less digits than its factorization.

3507009408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6585 (or 6570 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 3507009408 is about 59220.0085106377. The cubic root of 3507009408 is about 1519.3073667928.

The spelling of 3507009408 in words is "three billion, five hundred seven million, nine thousand, four hundred eight".