3457944000 has 448 divisors, whose sum is σ = 14505553920. Its totient is φ = 790041600.

The previous prime is 3457943971. The next prime is 3457944023. The reversal of 3457944000 is 4497543.

It is a tau number, because it is divible by the number of its divisors (448).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

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, 1510857 + ... + 1513143.

Almost surely, 2^3457944000 is an apocalyptic number.

3457944000 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 3457944000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7252776960).

3457944000 is an abundant number, since it is smaller than the sum of its proper divisors (11047609920).

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

3457944000 is a wasteful number, since it uses less digits than its factorization.

3457944000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2330 (or 2304 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 3457944000 is about 58804.2855581122. The cubic root of 3457944000 is about 1512.1886889738.

3457944000 divided by its product of nonzero digits (60480) gives a palindrome (57175).

The spelling of 3457944000 in words is "three billion, four hundred fifty-seven million, nine hundred forty-four thousand".