3459735552 has 504 divisors, whose sum is σ = 12304157256. Its totient is φ = 858783744.

The previous prime is 3459735551. The next prime is 3459735589. The reversal of 3459735552 is 2555379543.

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

Its product of digits (2835000) is a multiple of the sum of its prime divisors (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3459735551) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 203513848 + ... + 203513864.

Almost surely, 2^3459735552 is an apocalyptic number.

3459735552 is a gapful number since it is divisible by the number (32) 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 3459735552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6152078628).

3459735552 is an abundant number, since it is smaller than the sum of its proper divisors (8844421704).

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

3459735552 is a wasteful number, since it uses less digits than its factorization.

3459735552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 42 counting only the distinct ones).

The product of its digits is 2835000, while the sum is 48.

The square root of 3459735552 is about 58819.5167610207. The cubic root of 3459735552 is about 1512.4497975915.

The spelling of 3459735552 in words is "three billion, four hundred fifty-nine million, seven hundred thirty-five thousand, five hundred fifty-two".