3449798267400 has 96 divisors (see below), whose sum is σ = 11882638495200. Its totient is φ = 919946203200.

The previous prime is 3449798267381. The next prime is 3449798267411. The reversal of 3449798267400 is 47628979443.

3449798267400 is a `hidden beast` number, since 3 + 4 + 4 + 97 + 9 + 82 + 67 + 400 = 666.

It is a super-2 number, since 2×3449798267400² (a number of 26 digits) contains 22 as substring.

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, 319420366 + ... + 319431165.

It is an arithmetic number, because the mean of its divisors is an integer number (123777484325).

Almost surely, 2^{3449798267400} is an apocalyptic number.

3449798267400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3449798267400 is an abundant number, since it is smaller than the sum of its proper divisors (8432840227800).

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

3449798267400 is a wasteful number, since it uses less digits than its factorization.

3449798267400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 638851556 (or 638851541 counting only the distinct ones).

The product of its (nonzero) digits is 73156608, while the sum is 63.

The spelling of 3449798267400 in words is "three trillion, four hundred forty-nine billion, seven hundred ninety-eight million, two hundred sixty-seven thousand, four hundred".