3793673632 has 48 divisors (see below), whose sum is σ = 8569108800. Its totient is φ = 1619509248.

The previous prime is 3793673621. The next prime is 3793673687. The reversal of 3793673632 is 2363763973.

It is a happy number.

3793673632 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3793673632² = 28783919252264142848, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24619 + ... + 90517.

It is an arithmetic number, because the mean of its divisors is an integer number (178523100).

Almost surely, 2^3793673632 is an apocalyptic number.

3793673632 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 3793673632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4284554400).

3793673632 is an abundant number, since it is smaller than the sum of its proper divisors (4775435168).

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

3793673632 is a wasteful number, since it uses less digits than its factorization.

3793673632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66173 (or 66165 counting only the distinct ones).

The product of its digits is 2571912, while the sum is 49.

The square root of 3793673632 is about 61592.8050343545. The cubic root of 3793673632 is about 1559.6242838335.

The spelling of 3793673632 in words is "three billion, seven hundred ninety-three million, six hundred seventy-three thousand, six hundred thirty-two".