3756678480 has 320 divisors, whose sum is σ = 13713408000. Its totient is φ = 942617088.

The previous prime is 3756678469. The next prime is 3756678511. The reversal of 3756678480 is 848766573.

3756678480 is a `hidden beast` number, since 3 + 7 + 566 + 78 + 4 + 8 + 0 = 666.

It is a super-2 number, since 2×3756678480² = 28225266404190220800, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9808369 + ... + 9808751.

It is an arithmetic number, because the mean of its divisors is an integer number (42854400).

Almost surely, 2^3756678480 is an apocalyptic number.

3756678480 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 3756678480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6856704000).

3756678480 is an abundant number, since it is smaller than the sum of its proper divisors (9956729520).

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

3756678480 is a wasteful number, since it uses less digits than its factorization.

3756678480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 663 (or 651 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

The square root of 3756678480 is about 61291.7488737269. The cubic root of 3756678480 is about 1554.5379989010.

The spelling of 3756678480 in words is "three billion, seven hundred fifty-six million, six hundred seventy-eight thousand, four hundred eighty".