3914352000 has 1024 divisors, whose sum is σ = 16841260800. Its totient is φ = 884736000.

The previous prime is 3914351999. The next prime is 3914352007. The reversal of 3914352000 is 2534193.

It is a hoax number, since the sum of its digits (27) 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 (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3914352007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 95471980 + ... + 95472020.

Almost surely, 2^3914352000 is an apocalyptic number.

3914352000 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 3914352000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8420630400).

3914352000 is an abundant number, since it is smaller than the sum of its proper divisors (12926908800).

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

3914352000 is a wasteful number, since it uses less digits than its factorization.

3914352000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 3914352000 is about 62564.7824258984. The cubic root of 3914352000 is about 1575.9894010127.

Adding to 3914352000 its reverse (2534193), we get a palindrome (3916886193).

The spelling of 3914352000 in words is "three billion, nine hundred fourteen million, three hundred fifty-two thousand".