3452892408 has 384 divisors, whose sum is σ = 11692296000. Its totient is φ = 940584960.

The previous prime is 3452892397. The next prime is 3452892419. The reversal of 3452892408 is 8042982543.

3452892408 is a `hidden beast` number, since 34 + 528 + 92 + 4 + 0 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (3452892397) and next prime (3452892419).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 31677858 + ... + 31677966.

Almost surely, 2^3452892408 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 3452892408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5846148000).

3452892408 is an abundant number, since it is smaller than the sum of its proper divisors (8239403592).

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

3452892408 is a wasteful number, since it uses less digits than its factorization.

3452892408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The square root of 3452892408 is about 58761.3172759086. The cubic root of 3452892408 is about 1511.4519618764.

The spelling of 3452892408 in words is "three billion, four hundred fifty-two million, eight hundred ninety-two thousand, four hundred eight".