3736212480 has 1232 divisors, whose sum is σ = 18042159744. Its totient is φ = 716636160.

The previous prime is 3736212461. The next prime is 3736212499. The reversal of 3736212480 is 842126373.

It is a happy number.

3736212480 is a `hidden beast` number, since 3 + 7 + 3 + 621 + 24 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (3736212461) and next prime (3736212499).

It is a tau number, because it is divible by the number of its divisors (1232).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nialpdrome in base 12.

It is a zygodrome in base 12.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 287400954 + ... + 287400966.

Almost surely, 2^3736212480 is an apocalyptic number.

3736212480 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 3736212480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9021079872).

3736212480 is an abundant number, since it is smaller than the sum of its proper divisors (14305947264).

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

3736212480 is a wasteful number, since it uses less digits than its factorization.

3736212480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 3736212480 is about 61124.5652745277. The cubic root of 3736212480 is about 1551.7098688895.

The spelling of 3736212480 in words is "three billion, seven hundred thirty-six million, two hundred twelve thousand, four hundred eighty".