3499910400 has 216 divisors, whose sum is σ = 13201002304. Its totient is φ = 799948800.

The previous prime is 3499910369. The next prime is 3499910417. The reversal of 3499910400 is 40199943.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 121380 + ... + 147420.

Almost surely, 2^3499910400 is an apocalyptic number.

3499910400 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 3499910400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6600501152).

3499910400 is an abundant number, since it is smaller than the sum of its proper divisors (9701091904).

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

3499910400 is a wasteful number, since it uses less digits than its factorization.

3499910400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26077 (or 26058 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 39.

The square root of 3499910400 is about 59160.0405679374. The cubic root of 3499910400 is about 1518.2815297143.

The spelling of 3499910400 in words is "three billion, four hundred ninety-nine million, nine hundred ten thousand, four hundred".