3894151680 has 320 divisors, whose sum is σ = 14106597120. Its totient is φ = 1017888768.

The previous prime is 3894151673. The next prime is 3894151711. The reversal of 3894151680 is 861514983.

It is a tau number, because it is divible by the number of its divisors (320).

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3662829 + ... + 3663891.

It is an arithmetic number, because the mean of its divisors is an integer number (44083116).

Almost surely, 2^3894151680 is an apocalyptic number.

3894151680 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 3894151680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7053298560).

3894151680 is an abundant number, since it is smaller than the sum of its proper divisors (10212445440).

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

3894151680 is a wasteful number, since it uses less digits than its factorization.

3894151680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1148 (or 1126 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The square root of 3894151680 is about 62403.1383826166. The cubic root of 3894151680 is about 1573.2737185749.

The spelling of 3894151680 in words is "three billion, eight hundred ninety-four million, one hundred fifty-one thousand, six hundred eighty".