3674470800 has 1440 divisors, whose sum is σ = 17668869120. Its totient is φ = 638668800.

The previous prime is 3674470783. The next prime is 3674470801. The reversal of 3674470800 is 80744763.

It is a happy number.

3674470800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (3674470801) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 159759589 + ... + 159759611.

It is an arithmetic number, because the mean of its divisors is an integer number (12270048).

Almost surely, 2^3674470800 is an apocalyptic number.

3674470800 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 3674470800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8834434560).

3674470800 is an abundant number, since it is smaller than the sum of its proper divisors (13994398320).

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

3674470800 is a wasteful number, since it uses less digits than its factorization.

3674470800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 39.

The square root of 3674470800 is about 60617.4133397327. The cubic root of 3674470800 is about 1543.1149074523.

It can be divided in two parts, 3674 and 470800, that added together give a palindrome (474474).

The spelling of 3674470800 in words is "three billion, six hundred seventy-four million, four hundred seventy thousand, eight hundred".