3380994540 has 768 divisors, whose sum is σ = 14079098880. Its totient is φ = 653184000.

The previous prime is 3380994443. The next prime is 3380994541. The reversal of 3380994540 is 454990833.

It is a happy number.

3380994540 is a `hidden beast` number, since 33 + 80 + 99 + 454 + 0 = 666.

3380994540 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3380994540² = 22862248159019623200, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (3380994541) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 55426110 + ... + 55426170.

It is an arithmetic number, because the mean of its divisors is an integer number (18332160).

Almost surely, 2^3380994540 is an apocalyptic number.

3380994540 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 3380994540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7039549440).

3380994540 is an abundant number, since it is smaller than the sum of its proper divisors (10698104340).

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

3380994540 is a wasteful number, since it uses less digits than its factorization.

3380994540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The square root of 3380994540 is about 58146.3200899249. The cubic root of 3380994540 is about 1500.8875547275.

The spelling of 3380994540 in words is "three billion, three hundred eighty million, nine hundred ninety-four thousand, five hundred forty".