3948405120 has 384 divisors, whose sum is σ = 15045432480. Its totient is φ = 946176000.

The previous prime is 3948405119. The next prime is 3948405121. The reversal of 3948405120 is 215048493.

3948405120 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3948405119) and next prime (3948405121).

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3948405121) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6399052 + ... + 6399668.

Almost surely, 2^3948405120 is an apocalyptic number.

3948405120 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 3948405120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7522716240).

3948405120 is an abundant number, since it is smaller than the sum of its proper divisors (11097027360).

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

3948405120 is a wasteful number, since it uses less digits than its factorization.

3948405120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 754 (or 739 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 3948405120 is about 62836.3359848424. The cubic root of 3948405120 is about 1580.5463474027.

The spelling of 3948405120 in words is "three billion, nine hundred forty-eight million, four hundred five thousand, one hundred twenty".