3462901632 has 448 divisors, whose sum is σ = 11438463600. Its totient is φ = 1039122432.

The previous prime is 3462901627. The next prime is 3462901667. The reversal of 3462901632 is 2361092643.

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

It is a zygodrome in base 3.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 58693219 + ... + 58693277.

Almost surely, 2^3462901632 is an apocalyptic number.

3462901632 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 3462901632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5719231800).

3462901632 is an abundant number, since it is smaller than the sum of its proper divisors (7975561968).

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

3462901632 is an equidigital number, since it uses as much as digits as its factorization.

3462901632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 3462901632 is about 58846.4241224562. The cubic root of 3462901632 is about 1512.9110156072.

The spelling of 3462901632 in words is "three billion, four hundred sixty-two million, nine hundred one thousand, six hundred thirty-two".