3914412480 has 280 divisors, whose sum is σ = 15191201520. Its totient is φ = 948879360.

The previous prime is 3914412461. The next prime is 3914412487. The reversal of 3914412480 is 842144193.

It is a happy number.

3914412480 is a `hidden beast` number, since 39 + 144 + 1 + 2 + 480 = 666.

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 (3914412487) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 278256 + ... + 291984.

Almost surely, 2^3914412480 is an apocalyptic number.

3914412480 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 3914412480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7595600760).

3914412480 is an abundant number, since it is smaller than the sum of its proper divisors (11276789040).

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

3914412480 is a wasteful number, since it uses less digits than its factorization.

3914412480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13769 (or 13750 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 3914412480 is about 62565.2657630414. The cubic root of 3914412480 is about 1575.9975177540.

The spelling of 3914412480 in words is "three billion, nine hundred fourteen million, four hundred twelve thousand, four hundred eighty".