3945961800 has 576 divisors, whose sum is σ = 16138699200. Its totient is φ = 851558400.

The previous prime is 3945961787. The next prime is 3945961837. The reversal of 3945961800 is 81695493.

It is a happy number.

It is a super-2 number, since 2×3945961800² = 31141229054118480000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 6395092 + ... + 6395708.

It is an arithmetic number, because the mean of its divisors is an integer number (28018575).

Almost surely, 2^3945961800 is an apocalyptic number.

3945961800 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 3945961800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8069349600).

3945961800 is an abundant number, since it is smaller than the sum of its proper divisors (12192737400).

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

3945961800 is a wasteful number, since it uses less digits than its factorization.

3945961800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 686 (or 674 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The square root of 3945961800 is about 62816.8910405474. The cubic root of 3945961800 is about 1580.2202598450.

The spelling of 3945961800 in words is "three billion, nine hundred forty-five million, nine hundred sixty-one thousand, eight hundred".