3729830400 has 180 divisors, whose sum is σ = 13348445682. Its totient is φ = 994590720.

The previous prime is 3729830381. The next prime is 3729830407. The reversal of 3729830400 is 40389273.

It can be written as a sum of positive squares in 3 ways, for example, as 2999533824 + 730296576 = 54768^2 + 27024^2 .

It is a tau number, because it is divible by the number of its divisors (180).

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

It is not an unprimeable number, because it can be changed into a prime (3729830407) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 99012 + ... + 131388.

Almost surely, 2^3729830400 is an apocalyptic number.

3729830400 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 3729830400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6674222841).

3729830400 is an abundant number, since it is smaller than the sum of its proper divisors (9618615282).

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

3729830400 is a wasteful number, since it uses less digits than its factorization.

3729830400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32411 (or 32387 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 3729830400 is about 61072.3374368462. The cubic root of 3729830400 is about 1550.8258380988.

The spelling of 3729830400 in words is "three billion, seven hundred twenty-nine million, eight hundred thirty thousand, four hundred".