3954023424 has 440 divisors, whose sum is σ = 13454357840. Its totient is φ = 1146617856.

The previous prime is 3954023413. The next prime is 3954023503. The reversal of 3954023424 is 4243204593.

It is a super-3 number, since 3×3954023424³ (a number of 30 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 20487072 + ... + 20487264.

It is an arithmetic number, because the mean of its divisors is an integer number (30578086).

Almost surely, 2^3954023424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3954023424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6727178920).

3954023424 is an abundant number, since it is smaller than the sum of its proper divisors (9500334416).

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

3954023424 is a wasteful number, since it uses less digits than its factorization.

3954023424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257 (or 230 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The square root of 3954023424 is about 62881.0259458288. The cubic root of 3954023424 is about 1581.2956610331.

The spelling of 3954023424 in words is "three billion, nine hundred fifty-four million, twenty-three thousand, four hundred twenty-four".