3949662400 has 84 divisors (see below), whose sum is σ = 9755571040. Its totient is φ = 1573862400.

The previous prime is 3949662371. The next prime is 3949662401. The reversal of 3949662400 is 42669493.

It is not an unprimeable number, because it can be changed into a prime (3949662401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 429046 + ... + 438154.

Almost surely, 2^3949662400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3949662400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4877785520).

3949662400 is an abundant number, since it is smaller than the sum of its proper divisors (5805908640).

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

3949662400 is a wasteful number, since it uses less digits than its factorization.

3949662400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9402 (or 9387 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 43.

The square root of 3949662400 is about 62846.3395911011. The cubic root of 3949662400 is about 1580.7140926368.

The spelling of 3949662400 in words is "three billion, nine hundred forty-nine million, six hundred sixty-two thousand, four hundred".