3683377152 has 560 divisors, whose sum is σ = 13765389792. Its totient is φ = 955514880.

The previous prime is 3683377151. The next prime is 3683377163. The reversal of 3683377152 is 2517733863.

It is a super-2 number, since 2×3683377152² = 27134534487751262208, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3683377098 and 3683377107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3683377151) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 60383202 + ... + 60383262.

Almost surely, 2^3683377152 is an apocalyptic number.

3683377152 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 3683377152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6882694896).

3683377152 is an abundant number, since it is smaller than the sum of its proper divisors (10082012640).

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

3683377152 is an equidigital number, since it uses as much as digits as its factorization.

3683377152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 86 counting only the distinct ones).

The product of its digits is 635040, while the sum is 45.

The square root of 3683377152 is about 60690.8325202415. The cubic root of 3683377152 is about 1544.3606592131.

The spelling of 3683377152 in words is "three billion, six hundred eighty-three million, three hundred seventy-seven thousand, one hundred fifty-two".