3722963400 has 288 divisors, whose sum is σ = 13532337000. Its totient is φ = 911831040.

The previous prime is 3722963393. The next prime is 3722963443. The reversal of 3722963400 is 43692273.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 94828644 + 3628134756 = 9738^2 + 60234^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 9102396 + ... + 9102804.

Almost surely, 2^3722963400 is an apocalyptic number.

3722963400 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 3722963400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6766168500).

3722963400 is an abundant number, since it is smaller than the sum of its proper divisors (9809373600).

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

3722963400 is a wasteful number, since it uses less digits than its factorization.

3722963400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 833 (or 821 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The square root of 3722963400 is about 61016.0913202411. The cubic root of 3722963400 is about 1549.8735103162.

The spelling of 3722963400 in words is "three billion, seven hundred twenty-two million, nine hundred sixty-three thousand, four hundred".