3729749400 has 288 divisors, whose sum is σ = 14200914000. Its totient is φ = 869667840.

The previous prime is 3729749399. The next prime is 3729749411. The reversal of 3729749400 is 49479273.

3729749400 is a `hidden beast` number, since 3 + 72 + 97 + 494 + 0 + 0 = 666.

It is a super-2 number, since 2×3729749400² = 27822061173600720000, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 440406 + ... + 448794.

Almost surely, 2^3729749400 is an apocalyptic number.

3729749400 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 3729749400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7100457000).

3729749400 is an abundant number, since it is smaller than the sum of its proper divisors (10471164600).

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

3729749400 is a wasteful number, since it uses less digits than its factorization.

3729749400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8443 (or 8431 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

The square root of 3729749400 is about 61071.6742852200. The cubic root of 3729749400 is about 1550.8146116900.

The spelling of 3729749400 in words is "three billion, seven hundred twenty-nine million, seven hundred forty-nine thousand, four hundred".