3137946480 has 480 divisors, whose sum is σ = 11647254528. Its totient is φ = 783820800.

The previous prime is 3137946401. The next prime is 3137946491. The reversal of 3137946480 is 846497313.

It is a super-2 number, since 2×3137946480² = 19693416222688780800, which 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 95 ways as a sum of consecutive naturals, for example, 24708177 + ... + 24708303.

Almost surely, 2^3137946480 is an apocalyptic number.

3137946480 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 3137946480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5823627264).

3137946480 is an abundant number, since it is smaller than the sum of its proper divisors (8509308048).

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

3137946480 is a wasteful number, since it uses less digits than its factorization.

3137946480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 3137946480 is about 56017.3765897690. The cubic root of 3137946480 is about 1464.0250600386.

The spelling of 3137946480 in words is "three billion, one hundred thirty-seven million, nine hundred forty-six thousand, four hundred eighty".