3952203840 has 560 divisors, whose sum is σ = 15598365552. Its totient is φ = 943570944.

The previous prime is 3952203791. The next prime is 3952203869. The reversal of 3952203840 is 483022593.

3952203840 is a `hidden beast` number, since 395 + 220 + 3 + 8 + 40 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 372335616 + 3579868224 = 19296^2 + 59832^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 3952203795 and 3952203804.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 12467362 + ... + 12467678.

Almost surely, 2^3952203840 is an apocalyptic number.

3952203840 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 3952203840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7799182776).

3952203840 is an abundant number, since it is smaller than the sum of its proper divisors (11646161712).

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

3952203840 is a wasteful number, since it uses less digits than its factorization.

3952203840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 396 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 3952203840 is about 62866.5558146778. Note that the first 3 decimals coincide. The cubic root of 3952203840 is about 1581.0530607370.

The spelling of 3952203840 in words is "three billion, nine hundred fifty-two million, two hundred three thousand, eight hundred forty".