3145190400 has 792 divisors, whose sum is σ = 13185856944. Its totient is φ = 707788800.

The previous prime is 3145190369. The next prime is 3145190431. The reversal of 3145190400 is 40915413.

3145190400 is a `hidden beast` number, since 31 + 45 + 190 + 400 = 666.

3145190400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3145190369) and next prime (3145190431).

It is a tau number, because it is divible by the number of its divisors (792).

It is a super-3 number, since 3×3145190400³ (a number of 29 digits) contains 333 as substring.

It is a zygodrome in base 16.

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, 43084764 + ... + 43084836.

Almost surely, 2^3145190400 is an apocalyptic number.

3145190400 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 3145190400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6592928472).

3145190400 is an abundant number, since it is smaller than the sum of its proper divisors (10040666544).

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

3145190400 is a wasteful number, since it uses less digits than its factorization.

3145190400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 3145190400 is about 56081.9971113726. The cubic root of 3145190400 is about 1465.1507569661.

The spelling of 3145190400 in words is "three billion, one hundred forty-five million, one hundred ninety thousand, four hundred".