35538999350400 has 3840 divisors, whose sum is σ = 170257277836800. Its totient is φ = 7094697984000.

The previous prime is 35538999350381. The next prime is 35538999350419. The reversal of 35538999350400 is 405399983553.

35538999350400 is a `hidden beast` number, since 3 + 5 + 5 + 3 + 8 + 99 + 93 + 50 + 400 = 666.

It is an interprime number because it is at equal distance from previous prime (35538999350381) and next prime (35538999350419).

It is a super-3 number, since 3×35538999350400³ (a number of 42 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 59133110100 + ... + 59133110700.

It is an arithmetic number, because the mean of its divisors is an integer number (44337832770).

Almost surely, 2^{35538999350400} is an apocalyptic number.

35538999350400 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 35538999350400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85128638918400).

35538999350400 is an abundant number, since it is smaller than the sum of its proper divisors (134718278486400).

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

35538999350400 is a wasteful number, since it uses less digits than its factorization.

35538999350400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 789 (or 763 counting only the distinct ones).

The product of its (nonzero) digits is 78732000, while the sum is 63.

The spelling of 35538999350400 in words is "thirty-five trillion, five hundred thirty-eight billion, nine hundred ninety-nine million, three hundred fifty thousand, four hundred".