3801604032 has 84 divisors (see below), whose sum is σ = 10962138096. Its totient is φ = 1259581440.

The previous prime is 3801604021. The next prime is 3801604063. The reversal of 3801604032 is 2304061083.

It is a happy number.

It is a super-2 number, since 2×3801604032² = 28904386432237314048, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3801603987 and 3801604005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 76432 + ... + 115952.

It is an arithmetic number, because the mean of its divisors is an integer number (130501644).

Almost surely, 2^3801604032 is an apocalyptic number.

3801604032 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 3801604032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5481069048).

3801604032 is an abundant number, since it is smaller than the sum of its proper divisors (7160534064).

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

3801604032 is a wasteful number, since it uses less digits than its factorization.

3801604032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39706 (or 39693 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 3801604032 is about 61657.1490745396. The cubic root of 3801604032 is about 1560.7102879875.

The spelling of 3801604032 in words is "three billion, eight hundred one million, six hundred four thousand, thirty-two".