3574575950400 has 1512 divisors, whose sum is σ = 16011379284264. Its totient is φ = 749681049600.

The previous prime is 3574575950383. The next prime is 3574575950417. The reversal of 3574575950400 is 40595754753.

It is a happy number.

3574575950400 is a `hidden beast` number, since 3 + 5 + 7 + 4 + 5 + 7 + 595 + 0 + 40 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (3574575950383) and next prime (3574575950417).

It can be written as a sum of positive squares in 12 ways, for example, as 3363145196544 + 211430753856 = 1833888^2 + 459816^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 1660275724 + ... + 1660277876.

Almost surely, 2^{3574575950400} is an apocalyptic number.

3574575950400 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 3574575950400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8005689642132).

3574575950400 is an abundant number, since it is smaller than the sum of its proper divisors (12436803333864).

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

3574575950400 is a wasteful number, since it uses less digits than its factorization.

3574575950400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2389 (or 2364 counting only the distinct ones).

The product of its (nonzero) digits is 13230000, while the sum is 54.

The spelling of 3574575950400 in words is "three trillion, five hundred seventy-four billion, five hundred seventy-five million, nine hundred fifty thousand, four hundred".