3978417240 has 384 divisors, whose sum is σ = 15412101120. Its totient is φ = 870912000.

The previous prime is 3978417221. The next prime is 3978417251. The reversal of 3978417240 is 427148793.

3978417240 is a `hidden beast` number, since 397 + 8 + 4 + 17 + 240 = 666.

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 95 ways as a sum of consecutive naturals, for example, 9921040 + ... + 9921440.

It is an arithmetic number, because the mean of its divisors is an integer number (40135680).

Almost surely, 2^3978417240 is an apocalyptic number.

3978417240 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 3978417240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7706050560).

3978417240 is an abundant number, since it is smaller than the sum of its proper divisors (11433683880).

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

3978417240 is a wasteful number, since it uses less digits than its factorization.

3978417240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 583 (or 576 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 3978417240 is about 63074.6957186477. The cubic root of 3978417240 is about 1584.5408602200.

The spelling of 3978417240 in words is "three billion, nine hundred seventy-eight million, four hundred seventeen thousand, two hundred forty".