3457434288 has 160 divisors (see below), whose sum is σ = 11519976960. Its totient is φ = 867041280.

The previous prime is 3457434287. The next prime is 3457434301. The reversal of 3457434288 is 8824347543.

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

It is not an unprimeable number, because it can be changed into a prime (3457434287) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 91056 + ... + 123312.

It is an arithmetic number, because the mean of its divisors is an integer number (71999856).

Almost surely, 2^3457434288 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 3457434288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5759988480).

3457434288 is an abundant number, since it is smaller than the sum of its proper divisors (8062542672).

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

3457434288 is a wasteful number, since it uses less digits than its factorization.

3457434288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32315 (or 32309 counting only the distinct ones).

The product of its digits is 2580480, while the sum is 48.

The square root of 3457434288 is about 58799.9514285514. The cubic root of 3457434288 is about 1512.1143848404.

The spelling of 3457434288 in words is "three billion, four hundred fifty-seven million, four hundred thirty-four thousand, two hundred eighty-eight".