3407444100 has 54 divisors (see below), whose sum is σ = 10680447050. Its totient is φ = 908651520.

The previous prime is 3407444099. The next prime is 3407444111. The reversal of 3407444100 is 14447043.

It can be written as a sum of positive squares in 3 ways, for example, as 28579716 + 3378864384 = 5346^2 + 58128^2 .

It is a super-2 number, since 2×3407444100² = 23221350589249620000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1892125 + ... + 1893924.

Almost surely, 2^3407444100 is an apocalyptic number.

3407444100 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3407444100 is an abundant number, since it is smaller than the sum of its proper divisors (7273002950).

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

3407444100 is a wasteful number, since it uses less digits than its factorization.

3407444100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3786069 (or 3786059 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The square root of 3407444100 is about 58373.3166780850. The cubic root of 3407444100 is about 1504.7912132230.

The spelling of 3407444100 in words is "three billion, four hundred seven million, four hundred forty-four thousand, one hundred".