3465393971400 has 432 divisors, whose sum is σ = 12485396268540. Its totient is φ = 861121536000.

The previous prime is 3465393971381. The next prime is 3465393971401. The reversal of 3465393971400 is 41793935643.

3465393971400 is a `hidden beast` number, since 3 + 4 + 6 + 539 + 3 + 97 + 14 + 0 + 0 = 666.

It can be written as a sum of positive squares in 18 ways, for example, as 695586024324 + 2769807947076 = 834018^2 + 1664274^2 .

It is not an unprimeable number, because it can be changed into a prime (3465393971401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 52507222 + ... + 52573178.

Almost surely, 2^{3465393971400} is an apocalyptic number.

3465393971400 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 3465393971400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6242698134270).

3465393971400 is an abundant number, since it is smaller than the sum of its proper divisors (9020002297140).

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

3465393971400 is a wasteful number, since it uses less digits than its factorization.

3465393971400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66114 (or 66085 counting only the distinct ones).

The product of its (nonzero) digits is 7348320, while the sum is 54.

The spelling of 3465393971400 in words is "three trillion, four hundred sixty-five billion, three hundred ninety-three million, nine hundred seventy-one thousand, four hundred".