3742548480 has 240 divisors, whose sum is σ = 14140773504. Its totient is φ = 907223040.

The previous prime is 3742548457. The next prime is 3742548493. The reversal of 3742548480 is 848452473.

It is a happy number.

3742548480 is a `hidden beast` number, since 3 + 74 + 25 + 484 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 246057 + ... + 260823.

Almost surely, 2^3742548480 is an apocalyptic number.

3742548480 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 3742548480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7070386752).

3742548480 is an abundant number, since it is smaller than the sum of its proper divisors (10398225024).

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

3742548480 is a wasteful number, since it uses less digits than its factorization.

3742548480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14807 (or 14788 counting only the distinct ones).

The product of its (nonzero) digits is 860160, while the sum is 45.

The square root of 3742548480 is about 61176.3719094227. The cubic root of 3742548480 is about 1552.5865215069.

It can be divided in two parts, 37425 and 48480, that added together give a triangular number (85905 = T₄₁₄).

The spelling of 3742548480 in words is "three billion, seven hundred forty-two million, five hundred forty-eight thousand, four hundred eighty".