3742342800 has 240 divisors, whose sum is σ = 14071992192. Its totient is φ = 832204800.

The previous prime is 3742342759. The next prime is 3742342817. The reversal of 3742342800 is 82432473.

It is a tau number, because it is divible by the number of its divisors (240).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 304780 + ... + 316820.

Almost surely, 2^3742342800 is an apocalyptic number.

3742342800 is a gapful number since it is divisible by the number (30) 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 3742342800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7035996096).

3742342800 is an abundant number, since it is smaller than the sum of its proper divisors (10329649392).

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

3742342800 is a wasteful number, since it uses less digits than its factorization.

3742342800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12106 (or 12095 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 33.

The square root of 3742342800 is about 61174.6908451526. The cubic root of 3742342800 is about 1552.5580790479.

The spelling of 3742342800 in words is "three billion, seven hundred forty-two million, three hundred forty-two thousand, eight hundred".