3783013632 has 180 divisors, whose sum is σ = 11342031316. Its totient is φ = 1254113280.

The previous prime is 3783013589. The next prime is 3783013657. The reversal of 3783013632 is 2363103873.

It is a happy number.

3783013632 is a `hidden beast` number, since 3 + 7 + 8 + 3 + 0 + 13 + 632 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2598552576 + 1184461056 = 50976^2 + 34416^2 .

It is a super-2 number, since 2×3783013632² = 28622384279795662848, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 4996998 + ... + 4997754.

Almost surely, 2^3783013632 is an apocalyptic number.

3783013632 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 3783013632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5671015658).

3783013632 is an abundant number, since it is smaller than the sum of its proper divisors (7559017684).

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

3783013632 is an equidigital number, since it uses as much as digits as its factorization.

3783013632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1026 (or 1003 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The square root of 3783013632 is about 61506.2080769088. The cubic root of 3783013632 is about 1558.1620958903.

The spelling of 3783013632 in words is "three billion, seven hundred eighty-three million, thirteen thousand, six hundred thirty-two".