3954620880 has 320 divisors, whose sum is σ = 15764467200. Its totient is φ = 903633408.

The previous prime is 3954620849. The next prime is 3954620881. The reversal of 3954620880 is 880264593.

3954620880 is a `hidden beast` number, since 3 + 9 + 546 + 20 + 8 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3954620881) by changing a digit.

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, 1223106 + ... + 1226334.

It is an arithmetic number, because the mean of its divisors is an integer number (49263960).

Almost surely, 2^3954620880 is an apocalyptic number.

3954620880 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 3954620880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7882233600).

3954620880 is an abundant number, since it is smaller than the sum of its proper divisors (11809846320).

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

3954620880 is an equidigital number, since it uses as much as digits as its factorization.

3954620880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3270 (or 3246 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 3954620880 is about 62885.7764522312. The cubic root of 3954620880 is about 1581.3753020214.

The spelling of 3954620880 in words is "three billion, nine hundred fifty-four million, six hundred twenty thousand, eight hundred eighty".