3373431408 has 160 divisors (see below), whose sum is σ = 10091417600. Its totient is φ = 1077753600.

The previous prime is 3373431407. The next prime is 3373431421. The reversal of 3373431408 is 8041343733.

3373431408 is a `hidden beast` number, since 337 + 3 + 4 + 314 + 0 + 8 = 666.

It is a super-2 number, since 2×3373431408² = 22760078928961724928, 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 (3373431401) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1458573 + ... + 1460883.

It is an arithmetic number, because the mean of its divisors is an integer number (63071360).

Almost surely, 2^3373431408 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 3373431408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5045708800).

3373431408 is an abundant number, since it is smaller than the sum of its proper divisors (6717986192).

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

3373431408 is a wasteful number, since it uses less digits than its factorization.

3373431408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2468 (or 2456 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The square root of 3373431408 is about 58081.2483336920. The cubic root of 3373431408 is about 1499.7675799892.

The spelling of 3373431408 in words is "three billion, three hundred seventy-three million, four hundred thirty-one thousand, four hundred eight".