3774097632 has 72 divisors (see below), whose sum is σ = 9967380696. Its totient is φ = 1250411008.

The previous prime is 3774097627. The next prime is 3774097673. The reversal of 3774097632 is 2367904773.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

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 11 ways as a sum of consecutive naturals, for example, 3725158 + ... + 3726170.

It is an arithmetic number, because the mean of its divisors is an integer number (138435843).

Almost surely, 2^3774097632 is an apocalyptic number.

3774097632 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 3774097632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4983690348).

3774097632 is an abundant number, since it is smaller than the sum of its proper divisors (6193283064).

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

3774097632 is a wasteful number, since it uses less digits than its factorization.

3774097632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1420 (or 1215 counting only the distinct ones).

The product of its (nonzero) digits is 1333584, while the sum is 48.

The square root of 3774097632 is about 61433.6848316947. The cubic root of 3774097632 is about 1556.9370142354.

The spelling of 3774097632 in words is "three billion, seven hundred seventy-four million, ninety-seven thousand, six hundred thirty-two".