3726400650 has 192 divisors, whose sum is σ = 11200235520. Its totient is φ = 800928000.

The previous prime is 3726400649. The next prime is 3726400651. The reversal of 3726400650 is 560046273.

3726400650 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3726400649) and next prime (3726400651).

It is not an unprimeable number, because it can be changed into a prime (3726400651) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3011832 + ... + 3013068.

It is an arithmetic number, because the mean of its divisors is an integer number (58334560).

Almost surely, 2^3726400650 is an apocalyptic number.

3726400650 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3726400650, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5600117760).

3726400650 is an abundant number, since it is smaller than the sum of its proper divisors (7473834870).

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

3726400650 is a wasteful number, since it uses less digits than its factorization.

3726400650 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1429 (or 1424 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 33.

The square root of 3726400650 is about 61044.2515721177. The cubic root of 3726400650 is about 1550.3503405096.

The spelling of 3726400650 in words is "three billion, seven hundred twenty-six million, four hundred thousand, six hundred fifty".