3413743488 has 128 divisors (see below), whose sum is σ = 10241085600. Its totient is φ = 1119191040.

The previous prime is 3413743477. The next prime is 3413743507. The reversal of 3413743488 is 8843473143.

3413743488 is a `hidden beast` number, since 3 + 4 + 137 + 434 + 88 = 666.

3413743488 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×3413743488² = 23307289203724812288, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 202720 + ... + 218912.

Almost surely, 2^3413743488 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 3413743488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5120542800).

3413743488 is an abundant number, since it is smaller than the sum of its proper divisors (6827342112).

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

3413743488 is a wasteful number, since it uses less digits than its factorization.

3413743488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16277 (or 16259 counting only the distinct ones).

The product of its digits is 774144, while the sum is 45.

The square root of 3413743488 is about 58427.2495330732. The cubic root of 3413743488 is about 1505.7179516565.

The spelling of 3413743488 in words is "three billion, four hundred thirteen million, seven hundred forty-three thousand, four hundred eighty-eight".