4374978048 has 320 divisors, whose sum is σ = 15320448000. Its totient is φ = 1206116352.

The previous prime is 4374978031. The next prime is 4374978061. The reversal of 4374978048 is 8408794734.

4374978048 is a `hidden beast` number, since 4 + 37 + 497 + 80 + 48 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 4374977985 and 4374978003.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2805493 + ... + 2807051.

It is an arithmetic number, because the mean of its divisors is an integer number (47876400).

Almost surely, 2^4374978048 is an apocalyptic number.

4374978048 is a gapful number since it is divisible by the number (48) 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 4374978048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7660224000).

4374978048 is an abundant number, since it is smaller than the sum of its proper divisors (10945469952).

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

4374978048 is a wasteful number, since it uses less digits than its factorization.

4374978048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1622 (or 1600 counting only the distinct ones).

The product of its (nonzero) digits is 5419008, while the sum is 54.

The square root of 4374978048 is about 66143.6168348844. The cubic root of 4374978048 is about 1635.5304196060.

The spelling of 4374978048 in words is "four billion, three hundred seventy-four million, nine hundred seventy-eight thousand, forty-eight".