3744694800 has 1200 divisors, whose sum is σ = 17860761600. Its totient is φ = 727833600.

The previous prime is 3744694757. The next prime is 3744694823. The reversal of 3744694800 is 84964473.

It is a tau number, because it is divible by the number of its divisors (1200).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 47401161 + ... + 47401239.

It is an arithmetic number, because the mean of its divisors is an integer number (14883968).

Almost surely, 2^3744694800 is an apocalyptic number.

3744694800 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 3744694800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8930380800).

3744694800 is an abundant number, since it is smaller than the sum of its proper divisors (14116066800).

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

3744694800 is a wasteful number, since it uses less digits than its factorization.

3744694800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The square root of 3744694800 is about 61193.9114618440. The cubic root of 3744694800 is about 1552.8832632146.

The spelling of 3744694800 in words is "three billion, seven hundred forty-four million, six hundred ninety-four thousand, eight hundred".