3729410400 has 144 divisors (see below), whose sum is σ = 12221874000. Its totient is φ = 987740160.

The previous prime is 3729410341. The next prime is 3729410413. The reversal of 3729410400 is 40149273.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 352386 + ... + 362814.

It is an arithmetic number, because the mean of its divisors is an integer number (84874125).

Almost surely, 2^3729410400 is an apocalyptic number.

3729410400 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 3729410400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6110937000).

3729410400 is an abundant number, since it is smaller than the sum of its proper divisors (8492463600).

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

3729410400 is a wasteful number, since it uses less digits than its factorization.

3729410400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10601 (or 10588 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 3729410400 is about 61068.8987947220. The cubic root of 3729410400 is about 1550.7676253266.

Adding to 3729410400 its reverse (40149273), we get a palindrome (3769559673).

The spelling of 3729410400 in words is "three billion, seven hundred twenty-nine million, four hundred ten thousand, four hundred".