3945249000 has 384 divisors, whose sum is σ = 16628302080. Its totient is φ = 819648000.

The previous prime is 3945248981. The next prime is 3945249017. The reversal of 3945249000 is 9425493.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 690154 + ... + 695846.

It is an arithmetic number, because the mean of its divisors is an integer number (43302870).

Almost surely, 2^3945249000 is an apocalyptic number.

3945249000 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 3945249000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8314151040).

3945249000 is an abundant number, since it is smaller than the sum of its proper divisors (12683053080).

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

3945249000 is a wasteful number, since it uses less digits than its factorization.

3945249000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5738 (or 5721 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 3945249000 is about 62811.2171510790. The cubic root of 3945249000 is about 1580.1251035909.

The spelling of 3945249000 in words is "three billion, nine hundred forty-five million, two hundred forty-nine thousand".