3467348249040 has 160 divisors (see below), whose sum is σ = 12861787626240. Its totient is φ = 853501100544.

The previous prime is 3467348249039. The next prime is 3467348249107. The reversal of 3467348249040 is 409428437643.

3467348249040 is a `hidden beast` number, since 3 + 4 + 6 + 7 + 34 + 82 + 490 + 40 = 666.

It is a super-3 number, since 3×3467348249040³ (a number of 39 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (54) 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 (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 61712452 + ... + 61768611.

It is an arithmetic number, because the mean of its divisors is an integer number (80386172664).

Almost surely, 2^{3467348249040} is an apocalyptic number.

3467348249040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3467348249040 is an abundant number, since it is smaller than the sum of its proper divisors (9394439377200).

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

3467348249040 is a wasteful number, since it uses less digits than its factorization.

3467348249040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123481098 (or 123481086 counting only the distinct ones).

The product of its (nonzero) digits is 13934592, while the sum is 54.

The spelling of 3467348249040 in words is "three trillion, four hundred sixty-seven billion, three hundred forty-eight million, two hundred forty-nine thousand, forty".