3340546503840 has 2592 divisors, whose sum is σ = 15675992736768. Its totient is φ = 631436083200.

The previous prime is 3340546503839. The next prime is 3340546503841. The reversal of 3340546503840 is 483056450433.

3340546503840 is a `hidden beast` number, since 3 + 34 + 0 + 546 + 5 + 0 + 38 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (3340546503839) and next prime (3340546503841).

It is a super-2 number, since 2×3340546503840² (a number of 26 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3340546503841) by changing a digit.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 54763057410 + ... + 54763057470.

It is an arithmetic number, because the mean of its divisors is an integer number (6047836704).

Almost surely, 2^{3340546503840} is an apocalyptic number.

3340546503840 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 3340546503840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7837996368384).

3340546503840 is an abundant number, since it is smaller than the sum of its proper divisors (12335446232928).

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

3340546503840 is a wasteful number, since it uses less digits than its factorization.

3340546503840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 45.

The spelling of 3340546503840 in words is "three trillion, three hundred forty billion, five hundred forty-six million, five hundred three thousand, eight hundred forty".