3371947488 has 288 divisors, whose sum is σ = 12174624000. Its totient is φ = 889035264.

The previous prime is 3371947487. The next prime is 3371947517. The reversal of 3371947488 is 8847491733.

3371947488 is a `hidden beast` number, since 3 + 3 + 71 + 94 + 7 + 488 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×3371947488² = 22740059723659020288, which contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3371947483) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1020463 + ... + 1023761.

It is an arithmetic number, because the mean of its divisors is an integer number (42273000).

Almost surely, 2^3371947488 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3371947488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6087312000).

3371947488 is an abundant number, since it is smaller than the sum of its proper divisors (8802676512).

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

3371947488 is a wasteful number, since it uses less digits than its factorization.

3371947488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3351 (or 3324 counting only the distinct ones).

The product of its digits is 4064256, while the sum is 54.

The square root of 3371947488 is about 58068.4724097337. The cubic root of 3371947488 is about 1499.5476395938.

The spelling of 3371947488 in words is "three billion, three hundred seventy-one million, nine hundred forty-seven thousand, four hundred eighty-eight".