3484345793400 has 384 divisors, whose sum is σ = 12538097510400. Its totient is φ = 888348902400.

The previous prime is 3484345793387. The next prime is 3484345793413. The reversal of 3484345793400 is 43975434843.

It is a happy number.

3484345793400 is a `hidden beast` number, since 3 + 4 + 8 + 4 + 34 + 579 + 34 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (3484345793387) and next prime (3484345793413).

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 95 ways as a sum of consecutive naturals, for example, 13768812 + ... + 14019588.

It is an arithmetic number, because the mean of its divisors is an integer number (32651295600).

Almost surely, 2^{3484345793400} is an apocalyptic number.

3484345793400 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 3484345793400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6269048755200).

3484345793400 is an abundant number, since it is smaller than the sum of its proper divisors (9053751717000).

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

3484345793400 is a wasteful number, since it uses less digits than its factorization.

3484345793400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250916 (or 250901 counting only the distinct ones).

The product of its (nonzero) digits is 17418240, while the sum is 54.

The spelling of 3484345793400 in words is "three trillion, four hundred eighty-four billion, three hundred forty-five million, seven hundred ninety-three thousand, four hundred".