3361487040 has 336 divisors, whose sum is σ = 12115434240. Its totient is φ = 887086080.

The previous prime is 3361487033. The next prime is 3361487071. The reversal of 3361487040 is 407841633.

3361487040 is a `hidden beast` number, since 33 + 614 + 8 + 7 + 0 + 4 + 0 = 666.

It is a super-2 number, since 2×3361487040² = 22599190240175923200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 3361486986 and 3361487004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10808485 + ... + 10808795.

It is an arithmetic number, because the mean of its divisors is an integer number (36057840).

Almost surely, 2^3361487040 is an apocalyptic number.

3361487040 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 3361487040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6057717120).

3361487040 is an abundant number, since it is smaller than the sum of its proper divisors (8753947200).

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

3361487040 is a wasteful number, since it uses less digits than its factorization.

3361487040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 482 (or 460 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 3361487040 is about 57978.3325044796. The cubic root of 3361487040 is about 1497.9954022520.

The spelling of 3361487040 in words is "three billion, three hundred sixty-one million, four hundred eighty-seven thousand, forty".