3347496059040 has 960 divisors, whose sum is σ = 13962896640000. Its totient is φ = 739090759680.

The previous prime is 3347496059029. The next prime is 3347496059051. The reversal of 3347496059040 is 409506947433.

It is a happy number.

3347496059040 is a `hidden beast` number, since 3 + 3 + 4 + 7 + 4 + 9 + 6 + 0 + 590 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (3347496059029) and next prime (3347496059051).

It is a super-2 number, since 2×3347496059040² (a number of 26 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 2680140336 + ... + 2680141584.

It is an arithmetic number, because the mean of its divisors is an integer number (14544684000).

Almost surely, 2^{3347496059040} is an apocalyptic number.

3347496059040 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 3347496059040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6981448320000).

3347496059040 is an abundant number, since it is smaller than the sum of its proper divisors (10615400580960).

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

3347496059040 is a wasteful number, since it uses less digits than its factorization.

3347496059040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2267 (or 2250 counting only the distinct ones).

The product of its (nonzero) digits is 9797760, while the sum is 54.

The spelling of 3347496059040 in words is "three trillion, three hundred forty-seven billion, four hundred ninety-six million, fifty-nine thousand, forty".