3724199040 has 256 divisors, whose sum is σ = 12322252800. Its totient is φ = 956067840.

The previous prime is 3724199029. The next prime is 3724199047. The reversal of 3724199040 is 409914273.

3724199040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 3724199040.

It is not an unprimeable number, because it can be changed into a prime (3724199047) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6521955 + ... + 6522525.

It is an arithmetic number, because the mean of its divisors is an integer number (48133800).

Almost surely, 2^3724199040 is an apocalyptic number.

3724199040 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 3724199040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6161126400).

3724199040 is an abundant number, since it is smaller than the sum of its proper divisors (8598053760).

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

3724199040 is a wasteful number, since it uses less digits than its factorization.

3724199040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 715 (or 703 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 39.

The square root of 3724199040 is about 61026.2160059101. The cubic root of 3724199040 is about 1550.0449574196.

The spelling of 3724199040 in words is "three billion, seven hundred twenty-four million, one hundred ninety-nine thousand, forty".