3340340040400 has 60 divisors (see below), whose sum is σ = 8754727590144. Its totient is φ = 1214669104000.

The previous prime is 3340340040307. The next prime is 3340340040493. The reversal of 3340340040400 is 40400430433.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (3340340040307) and next prime (3340340040493).

It is a super-2 number, since 2×3340340040400² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 379579696 + ... + 379588495.

Almost surely, 2^{3340340040400} is an apocalyptic number.

It is an amenable number.

3340340040400 is an abundant number, since it is smaller than the sum of its proper divisors (5414387549744).

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

3340340040400 is a wasteful number, since it uses less digits than its factorization.

3340340040400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 759168220 (or 759168209 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 25.

Adding to 3340340040400 its reverse (40400430433), we get a palindrome (3380740470833).

The spelling of 3340340040400 in words is "three trillion, three hundred forty billion, three hundred forty million, forty thousand, four hundred".