3140102400 has 216 divisors, whose sum is σ = 10521972384. Its totient is φ = 824524800.

The previous prime is 3140102387. The next prime is 3140102417. The reversal of 3140102400 is 42010413.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 3140102400.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1285180 + ... + 1287620.

Almost surely, 2^3140102400 is an apocalyptic number.

3140102400 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 3140102400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5260986192).

3140102400 is an abundant number, since it is smaller than the sum of its proper divisors (7381869984).

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

3140102400 is a wasteful number, since it uses less digits than its factorization.

3140102400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2537 (or 2518 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 3140102400 is about 56036.6166002195. The cubic root of 3140102400 is about 1464.3602684682.

Adding to 3140102400 its reverse (42010413), we get a palindrome (3182112813).

It can be divided in two parts, 314010 and 2400, that added together give a triangular number (316410 = T₇₉₅).

The spelling of 3140102400 in words is "three billion, one hundred forty million, one hundred two thousand, four hundred".