3914258400 has 864 divisors, whose sum is σ = 16378951680. Its totient is φ = 870912000.

The previous prime is 3914258399. The next prime is 3914258401. The reversal of 3914258400 is 48524193.

3914258400 is a `hidden beast` number, since 39 + 1 + 42 + 584 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (3914258399) and next prime (3914258401).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 (3914258401) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 55130365 + ... + 55130435.

It is an arithmetic number, because the mean of its divisors is an integer number (18957120).

Almost surely, 2^3914258400 is an apocalyptic number.

3914258400 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 3914258400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8189475840).

3914258400 is an abundant number, since it is smaller than the sum of its proper divisors (12464693280).

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

3914258400 is a wasteful number, since it uses less digits than its factorization.

3914258400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 3914258400 is about 62564.0343967682. The cubic root of 3914258400 is about 1575.9768392243.

The spelling of 3914258400 in words is "three billion, nine hundred fourteen million, two hundred fifty-eight thousand, four hundred".