3735099480 has 288 divisors, whose sum is σ = 13489150320. Its totient is φ = 824947200.

The previous prime is 3735099463. The next prime is 3735099493. The reversal of 3735099480 is 849905373.

It is a congruent number.

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, 5650350 + ... + 5651010.

Almost surely, 2^3735099480 is an apocalyptic number.

3735099480 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 3735099480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6744575160).

3735099480 is an abundant number, since it is smaller than the sum of its proper divisors (9754050840).

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

3735099480 is a wasteful number, since it uses less digits than its factorization.

3735099480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 751 (or 709 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 48.

The square root of 3735099480 is about 61115.4602371609. The cubic root of 3735099480 is about 1551.5557712469. Note that the first 3 decimals are identical.

The spelling of 3735099480 in words is "three billion, seven hundred thirty-five million, ninety-nine thousand, four hundred eighty".