3952608 has 96 divisors (see below), whose sum is σ = 11975040. Its totient is φ = 1128960.

The previous prime is 3952601. The next prime is 3952633. The reversal of 3952608 is 8062593.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×3952608² = 31246220003328, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3952601) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19966 + ... + 20162.

It is an arithmetic number, because the mean of its divisors is an integer number (124740).

Almost surely, 2^3952608 is an apocalyptic number.

3952608 is a gapful number since it is divisible by the number (38) 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 3952608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5987520).

3952608 is an abundant number, since it is smaller than the sum of its proper divisors (8022432).

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

3952608 is a wasteful number, since it uses less digits than its factorization.

3952608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 3952608 is about 1988.1166967761. The cubic root of 3952608 is about 158.1106952747.

It can be divided in two parts, 3952 and 608, that added together give a triangular number (4560 = T₉₅).

The spelling of 3952608 in words is "three million, nine hundred fifty-two thousand, six hundred eight".