3487045632 has 192 divisors, whose sum is σ = 10755763200. Its totient is φ = 984023040.

The previous prime is 3487045607. The next prime is 3487045651. The reversal of 3487045632 is 2365407843.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 3827257 + ... + 3828167.

It is an arithmetic number, because the mean of its divisors is an integer number (56019600).

Almost surely, 2^3487045632 is an apocalyptic number.

3487045632 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 3487045632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5377881600).

3487045632 is an abundant number, since it is smaller than the sum of its proper divisors (7268717568).

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

3487045632 is an equidigital number, since it uses as much as digits as its factorization.

3487045632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1032 (or 1012 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 42.

The square root of 3487045632 is about 59051.2119435325. The cubic root of 3487045632 is about 1516.4189753113.

The spelling of 3487045632 in words is "three billion, four hundred eighty-seven million, forty-five thousand, six hundred thirty-two".