3952465920 has 288 divisors, whose sum is σ = 14756742000. Its totient is φ = 972619776.

The previous prime is 3952465919. The next prime is 3952465939. The reversal of 3952465920 is 295642593.

3952465920 is a `hidden beast` number, since 3 + 9 + 52 + 4 + 6 + 592 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-3 number, since 3×3952465920³ (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1196431 + ... + 1199729.

Almost surely, 2^3952465920 is an apocalyptic number.

3952465920 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 3952465920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7378371000).

3952465920 is an abundant number, since it is smaller than the sum of its proper divisors (10804276080).

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

3952465920 is a wasteful number, since it uses less digits than its factorization.

3952465920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3345 (or 3322 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 45.

The square root of 3952465920 is about 62868.6401952516. The cubic root of 3952465920 is about 1581.0880077559.

The spelling of 3952465920 in words is "three billion, nine hundred fifty-two million, four hundred sixty-five thousand, nine hundred twenty".