3742821600 has 144 divisors (see below), whose sum is σ = 13923358848. Its totient is φ = 855498240.

The previous prime is 3742821583. The next prime is 3742821613. The reversal of 3742821600 is 61282473.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 94594 + ... + 128193.

It is an arithmetic number, because the mean of its divisors is an integer number (96689992).

Almost surely, 2^3742821600 is an apocalyptic number.

3742821600 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3742821600 is an abundant number, since it is smaller than the sum of its proper divisors (10180537248).

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

3742821600 is a wasteful number, since it uses less digits than its factorization.

3742821600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222817 (or 222804 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The square root of 3742821600 is about 61178.6041030686. The cubic root of 3742821600 is about 1552.6242882959.

The spelling of 3742821600 in words is "three billion, seven hundred forty-two million, eight hundred twenty-one thousand, six hundred".