3797661152 has 48 divisors (see below), whose sum is σ = 7687975680. Its totient is φ = 1845821952.

The previous prime is 3797661151. The next prime is 3797661181. The reversal of 3797661152 is 2511667973.

It is a happy number.

It is a super-3 number, since 3×3797661152³ (a number of 30 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3797661097 and 3797661106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3797661151) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 174593 + ... + 195135.

It is an arithmetic number, because the mean of its divisors is an integer number (160166160).

Almost surely, 2^3797661152 is an apocalyptic number.

3797661152 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 3797661152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3843987840).

3797661152 is an abundant number, since it is smaller than the sum of its proper divisors (3890314528).

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

3797661152 is a wasteful number, since it uses less digits than its factorization.

3797661152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20715 (or 20707 counting only the distinct ones).

The product of its digits is 476280, while the sum is 47.

The square root of 3797661152 is about 61625.1665474423. The cubic root of 3797661152 is about 1560.1705314344.

The spelling of 3797661152 in words is "three billion, seven hundred ninety-seven million, six hundred sixty-one thousand, one hundred fifty-two".