3674998800 has 720 divisors, whose sum is σ = 15154708608. Its totient is φ = 814694400.

The previous prime is 3674998799. The next prime is 3674998823. The reversal of 3674998800 is 88994763.

It is a tau number, because it is divible by the number of its divisors (720).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 35679549 + ... + 35679651.

Almost surely, 2^3674998800 is an apocalyptic number.

3674998800 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 3674998800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7577354304).

3674998800 is an abundant number, since it is smaller than the sum of its proper divisors (11479709808).

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

3674998800 is a wasteful number, since it uses less digits than its factorization.

3674998800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The square root of 3674998800 is about 60621.7683674767. The cubic root of 3674998800 is about 1543.1888161131.

The spelling of 3674998800 in words is "three billion, six hundred seventy-four million, nine hundred ninety-eight thousand, eight hundred".