3714379200 has 672 divisors, whose sum is σ = 15783275520. Its totient is φ = 832204800.

The previous prime is 3714379187. The next prime is 3714379241. The reversal of 3714379200 is 29734173.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×3714379200² = 27593225682785280000, which contains 22 as substring.

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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 21470314 + ... + 21470486.

Almost surely, 2^3714379200 is an apocalyptic number.

3714379200 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 3714379200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7891637760).

3714379200 is an abundant number, since it is smaller than the sum of its proper divisors (12068896320).

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

3714379200 is a wasteful number, since it uses less digits than its factorization.

3714379200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 36.

The square root of 3714379200 is about 60945.7069858083. The cubic root of 3714379200 is about 1548.6813898280.

The spelling of 3714379200 in words is "three billion, seven hundred fourteen million, three hundred seventy-nine thousand, two hundred".