3358735142400 has 360 divisors, whose sum is σ = 13112716864104. Its totient is φ = 814238515200.

The previous prime is 3358735142387. The next prime is 3358735142419. The reversal of 3358735142400 is 42415378533.

3358735142400 is a `hidden beast` number, since 3 + 3 + 58 + 7 + 351 + 4 + 240 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×3358735142400² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 58059 + ... + 2592458.

Almost surely, 2^{3358735142400} is an apocalyptic number.

3358735142400 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 3358735142400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6556358432052).

3358735142400 is an abundant number, since it is smaller than the sum of its proper divisors (9753981721704).

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

3358735142400 is a wasteful number, since it uses less digits than its factorization.

3358735142400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2650562 (or 2650538 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 45.

The spelling of 3358735142400 in words is "three trillion, three hundred fifty-eight billion, seven hundred thirty-five million, one hundred forty-two thousand, four hundred".