3439463040 has 512 divisors, whose sum is σ = 13386643200. Its totient is φ = 829440000.

The previous prime is 3439463021. The next prime is 3439463099. The reversal of 3439463040 is 403649343.

It is a happy number.

3439463040 is a `hidden beast` number, since 343 + 9 + 4 + 6 + 304 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 3439462986 and 3439463004.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13702915 + ... + 13703165.

Almost surely, 2^3439463040 is an apocalyptic number.

3439463040 is a gapful number since it is divisible by the number (30) 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 3439463040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6693321600).

3439463040 is an abundant number, since it is smaller than the sum of its proper divisors (9947180160).

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

3439463040 is a wasteful number, since it uses less digits than its factorization.

3439463040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 353 (or 335 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 36.

The square root of 3439463040 is about 58646.9354698095. The cubic root of 3439463040 is about 1509.4899144020.

The spelling of 3439463040 in words is "three billion, four hundred thirty-nine million, four hundred sixty-three thousand, forty".