353990246400 has 1152 divisors, whose sum is σ = 1529702241600. Its totient is φ = 76653527040.

The previous prime is 353990246387. The next prime is 353990246413. The reversal of 353990246400 is 4642099353.

353990246400 is a `hidden beast` number, since 3 + 539 + 90 + 24 + 6 + 4 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (353990246387) and next prime (353990246413).

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 18631065591 + ... + 18631065609.

Almost surely, 2^353990246400 is an apocalyptic number.

353990246400 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 353990246400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (764851120800).

353990246400 is an abundant number, since it is smaller than the sum of its proper divisors (1175711995200).

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

353990246400 is an frugal number, since it uses more digits than its factorization.

353990246400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 45.

The spelling of 353990246400 in words is "three hundred fifty-three billion, nine hundred ninety million, two hundred forty-six thousand, four hundred".