3742400480 has 288 divisors, whose sum is σ = 11250114624. Its totient is φ = 1165860864.

The previous prime is 3742400479. The next prime is 3742400509. The reversal of 3742400480 is 840042473.

It is a super-2 number, since 2×3742400480² = 28011122705408460800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7439909 + ... + 7440411.

It is an arithmetic number, because the mean of its divisors is an integer number (39062898).

Almost surely, 2^3742400480 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3742400480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5625057312).

3742400480 is an abundant number, since it is smaller than the sum of its proper divisors (7507714144).

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

3742400480 is a wasteful number, since it uses less digits than its factorization.

3742400480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 618 (or 603 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 32.

The square root of 3742400480 is about 61175.1622801280. The cubic root of 3742400480 is about 1552.5660554319.

The spelling of 3742400480 in words is "three billion, seven hundred forty-two million, four hundred thousand, four hundred eighty".