3505036253400 has 576 divisors, whose sum is σ = 12952825966080. Its totient is φ = 842350924800.

The previous prime is 3505036253393. The next prime is 3505036253401. The reversal of 3505036253400 is 43526305053.

3505036253400 is a `hidden beast` number, since 3 + 5 + 0 + 503 + 62 + 53 + 40 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3505036253401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1197482737 + ... + 1197485663.

It is an arithmetic number, because the mean of its divisors is an integer number (22487545080).

Almost surely, 2^{3505036253400} is an apocalyptic number.

3505036253400 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 3505036253400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6476412983040).

3505036253400 is an abundant number, since it is smaller than the sum of its proper divisors (9447789712680).

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

3505036253400 is a wasteful number, since it uses less digits than its factorization.

3505036253400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3464 (or 3452 counting only the distinct ones).

The product of its (nonzero) digits is 162000, while the sum is 36.

The spelling of 3505036253400 in words is "three trillion, five hundred five billion, thirty-six million, two hundred fifty-three thousand, four hundred".