3913628400 has 600 divisors, whose sum is σ = 15628166400. Its totient is φ = 930009600.

The previous prime is 3913628399. The next prime is 3913628401. The reversal of 3913628400 is 48263193.

3913628400 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 (3913628399) and next prime (3913628401).

It is a tau number, because it is divible by the number of its divisors (600).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3913628401) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 28155531 + ... + 28155669.

It is an arithmetic number, because the mean of its divisors is an integer number (26046944).

Almost surely, 2^3913628400 is an apocalyptic number.

3913628400 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 3913628400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7814083200).

3913628400 is an abundant number, since it is smaller than the sum of its proper divisors (11714538000).

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

3913628400 is a wasteful number, since it uses less digits than its factorization.

3913628400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 3913628400 is about 62558.9993526111. Note that the first 3 decimals coincide. The cubic root of 3913628400 is about 1575.8922835155.

The spelling of 3913628400 in words is "three billion, nine hundred thirteen million, six hundred twenty-eight thousand, four hundred".