3457689024 has 112 divisors (see below), whose sum is σ = 10020909600. Its totient is φ = 1047330816.

The previous prime is 3457689023. The next prime is 3457689031. The reversal of 3457689024 is 4209867543.

It is a super-2 number, since 2×3457689024² = 23911226773380145152, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3457689023) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 76392 + ... + 112920.

Almost surely, 2^3457689024 is an apocalyptic number.

3457689024 is a gapful number since it is divisible by the number (34) 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 3457689024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5010454800).

3457689024 is an abundant number, since it is smaller than the sum of its proper divisors (6563220576).

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

3457689024 is a wasteful number, since it uses less digits than its factorization.

3457689024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36590 (or 36580 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 48.

The square root of 3457689024 is about 58802.1175128923. The cubic root of 3457689024 is about 1512.1515203267.

The spelling of 3457689024 in words is "three billion, four hundred fifty-seven million, six hundred eighty-nine thousand, twenty-four".