3746314800 has 300 divisors, whose sum is σ = 13763019160. Its totient is φ = 975421440.

The previous prime is 3746314783. The next prime is 3746314829. The reversal of 3746314800 is 84136473.

3746314800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (300).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1391856 + ... + 1394544.

Almost surely, 2^3746314800 is an apocalyptic number.

3746314800 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 3746314800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6881509580).

3746314800 is an abundant number, since it is smaller than the sum of its proper divisors (10016704360).

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

3746314800 is a wasteful number, since it uses less digits than its factorization.

3746314800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2762 (or 2742 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 3746314800 is about 61207.1466415483. The cubic root of 3746314800 is about 1553.1071629215.

The spelling of 3746314800 in words is "three billion, seven hundred forty-six million, three hundred fourteen thousand, eight hundred".