3914647800 has 384 divisors, whose sum is σ = 14849049600. Its totient is φ = 832757760.

The previous prime is 3914647799. The next prime is 3914647819. The reversal of 3914647800 is 87464193.

3914647800 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 a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7782349 + ... + 7782851.

It is an arithmetic number, because the mean of its divisors is an integer number (38669400).

Almost surely, 2^3914647800 is an apocalyptic number.

3914647800 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 3914647800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7424524800).

3914647800 is an abundant number, since it is smaller than the sum of its proper divisors (10934401800).

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

3914647800 is a wasteful number, since it uses less digits than its factorization.

3914647800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 655 (or 646 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The square root of 3914647800 is about 62567.1463309619. The cubic root of 3914647800 is about 1576.0290981684.

The spelling of 3914647800 in words is "three billion, nine hundred fourteen million, six hundred forty-seven thousand, eight hundred".